Find the domain and range of the following functions:
1. f(x) = 4x-3
2. G(x) = | 1-2x |
3. f(x) = x²-2x+1 / x-1
Answers
The domain and range of the functions, Domain includes all possible inputs and range includes all possible outputs , are-
1. f(x) = 4x-3
Domain - all real numbers or
Range - all real numbers
2. G(x) = | 1-2x |
Domain- all real numbers
Range - All real numbers≥ 0
3. f(x) = x²-2x+1 / x-1
this can be simplified as ( x-1)²/(x-1) = x-1
Domain - all real numbers
Range- all real numbers
4. f(x) = {x-1 if x<3,
2x+1 if x ≥3 }
Domain - all real numbers
Range - All real numbers
5. y = [tex]\sqrt{4-x}[/tex]
Domain - All real numbers <4
Range - all real numbers ≥0
Mathematical functions are analogous to vending (soda) machine operations. When you put in a certain amount of money, you can choose from a variety of sodas. Similarly, when we use functions, we enter different numbers and get new numbers as a result. The primary characteristics of functions are domain and range. A soda can be purchased with quarters or one-dollar bills. If you put in pennies, the machine will not give you any soda flavor. As a result, the domain represents the inputs available here, which are quarters and one-dollar bills. A cheeseburger will not be served from a soda machine, no matter how much you pay. Thus, the range represents the possible outputs we can have here, i.e., the
To know more about Domain and Range - https://brainly.com/question/28135761
#SPJ9
Related Questions
Isabella tossed a coin and spun a spinner that is divided into 3 equal sections. She did this 50 times. The results are shown in the table. What is the experimental probability that the next time Isabella tosses the coin and spins the spinner she will get a tails and a 2? *
Answers
Answer:
ur gay landen
Step-by-step explanation:
What is the quotient of 6 -1/2
Answers
Answer:
-3
Step-by-step explanation:
because quotient means division,
so you divide 6 by -1/2
-1/2 is equal to -0.5
6/-0.5= -3
Need help ASAP!!! Please comment if you know the answer I Really need help
Answers
Part E
Open the parallel lines rotation application .The right set of parallel lines is a 90° rotation counterclockwise of the left set of
parallel lines. Click the 90° counterclockwise button. Are the two sets of parallel lines the same? What does this mean about
how parallel lines change when you rotate them?
Answers
Two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.
What is Angle Translation?A translation is a type of transformation that involves sliding each point in a figure the same distance in the same direction. In geometry, translating something simply means moving it around. We do not alter it in any way. When we translate a segment, it remains a segment and its length remains constant. Similarly, when we translate an angle, the angle's measure remains constant.According to the given diagram:
Although the two sets of parallel lines in each set remain equidistant to each other, the parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.Therefore, two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.
Know more about Angle Translation here:
https://brainly.com/question/12861087
#SPJ4
Mrs.jones waters the plants on her porch every 5 days. She waters the vegetable garden every 2 days. If she waters them both today, how many days will pass before she will water both of them on the same day again?
Answers
the answer is 10. if you take the lcm of 5 and 2 you should get it.
Which line is an asymptote of the function f(x)= -6e^4(x-1) - 2 ?
A. y = 1
B. y = -2
C. y = -6
D. y = 1
Answers
Answer:
i am positive it is B
Step-by-step explanation:
pls help I will fail 10th grade
Answers
Answer:
b
Step-by-step explanation:
Please mark brainiest
-9r+10r i have one more pls help me
Answers
Answer:
r
Step-by-step explanation:
10r - 9r = r
In the parallelogram below, x = [? ] 6x-57 3x+3
Answers
The value of x is 20
What is a parallelogram?A parallelogram is a quadrilateral with equal opposite sides
Since the opposite sides of a parallelogram are equal, then the following equation is true
[tex]6x - 57 = 3x + 3[/tex]
Divide through by 3
[tex]2x - 19 = x + 1[/tex]
Collect like terms, in the above equation
[tex]2x - x = 19 +1[/tex]
Evaluate the like terms
[tex]x = 20[/tex]
Hence, the value of x is 20
Read more about parallelograms at:
https://brainly.com/question/3050890
Translate to an equation and solve the following: h divided by −13 is equal to −65.
Answers
Steps:
h/-13=-65
Multiply both sides by -13 to eliminate fraction and isolate the h
h=845
Which best describes the dimensions of a line?
A line has zero dimensions because it represents a location on the coordinate plane.
A line has one dimension because it is made up of all points that extend infinitely in either direction.
A line has two dimensions because it is made up of three noncollinear points.
A line has multiple dimensions depending on how many labeled points it contains.
Answers
Answer:
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Step-by-step explanation:
The correct statement which describes the dimensions of a line is,
''A line has one dimension because it is made up of all points that extend infinitely in either direction.''
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
We have to given that;
To find the dimensions of a line.
We know that;
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Thus, The correct statement which describes the dimensions of a line is,
''A line has one dimension because it is made up of all points that extend infinitely in either direction.''
Learn more aboput the line segment visit:
https://brainly.com/question/280216
#SPJ5
From 10 am to 4 pm the temperature changed -36 degrees. If the temperature changed equally for the last 6 hours, How much did it change each hour?
Answers
Answer:
-6 degrees per hour
Step-by-step explanation:
divide -36 by 6(the number of hours) and get -6
Answer:
6 degrees
Step-by-step explanation:
it changed 6 degrees every hour
Can someone tell me how to solve this? Thank you
Answers
Answer:
domain: all real numbers except x=3 and x=5.
Step-by-step explanation:
You want the domain of a composition of rational functions f(x)=1/(x-2) and g(x)=4/(x-3).
DomainThe domain of a function is the set of values of the independent variable for which the function is defined.
To compute f(g(x)), you must first compute g(x). When x=3, the denominator of the function 4/(x-3) is zero, so the value is undefined. The domain must exclude x=3.
The composition is found by substituting g(x) for x in the definition of f(x).
[tex]f(g(x)) = f(\dfrac{4}{x-3}) =\dfrac{1}{\dfrac{4}{x-3}-2}=\dfrac{x-3}{4-2(x-3)}\\\\f(g(x))=\dfrac{x-3}{4-2x+6}=\dfrac{x-3}{2(5-x)}[/tex]
We have written the composition in this form so you can see there is a denominator factor that will be zero when x=5. The domain of f(g(x)) must also exclude x=5.
The domain of f(g(x)) is all real numbers except x=3 and x=5.
What is the length of JL?
Answers
As We can see that point J is on (-2,5) and L is on (-2,-2)
So we know that distance cannot be in negative, thus
Distance between J and L =5+2=7 units
JL=7
si en la cancha de una escuela se va a colocar 150 sillas en forma rectangular, cuales seran las posibles arreglos de manera que no sobren sillas en ninguna fila
Answers
Answer:
RGRGAEGETG
Step-by-step explanation:
What is the value of x in x = inverse of sin(-1/2)?
Answers
Answer:
B. -pi/6
Step-by-step explanation:
What 5 points are not coplanar with H, E, and A?
Answers
5 points that are not coplanar with H, E, and A are B, I, C, F, and G.
The figure in the given diagram is a cube. We have to find the 5 points in the cube that are not coplanar with H, E, and A.
Points are non-coplanar if they don't lie on the same plane.
From the given cube diagram, it is clear points A, E, H, J, and D lie on the same plane, while the points B, I, C, F, and G lie on a different plane. Since we have to check if the points are coplanar with respect to the given points H, E, and A.
It can be concluded that points J and D are coplanar with the given points H, E, and A as they all lie in the same plane, while the points B, I, C, F, and G are non coplanar points with respect to the given points H, E, and A as they lie on a different plane.
Therefore, using the concept of coplanar and non coplanar points, we get 5 points that are not coplanar with H, E, and A as B, I, C, F, and G.
Learn more about Coplanar Points here:
https://brainly.com/question/2603508?referrer=searchResults
#SPJ9
Don’t worry about number 4 just tell me the answer to number two
Answers
Answer:
B
Step-by-step explanation:
First, you must combine like terms.
5a - a - a would be 3a.
-6 + 4 would be -2.
3a-2
Answer:
The answer would be B. -a+4+5a-a-6.
You would need to put like terms together. 4 and -6 is -2. -a, 5a, and -a is 3a.
Use the information to answer the question.
Consider the triangle.
16x + 5
4x + 2
8x + 1
Part A
Which expression represents the perimeter of the triangle?
Answers
Answer:
13x^8 + 4x^5 - 16x^2 try this
Step-by-step explanation:
PLEASE ANSWER IMMEDIATELY
Simplify the expression -416 - -613 Explain your solution using the additive inverse property.
Answers
Answer: 203
Step-by-step explanation:
-416 + 613
203
7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"
A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive
Answers
Answer:
C
Step-by-step explanation:
C
What are the real and imaginary parts of the complex number?
10−7i
The real part:
The imaginary part:
Answers
Answer:
Real: 10
Complex: -7i
Step-by-step explanation:
i is imaginary.
The real part of the complex number is 10 and the imaginary part of the complex number is -7i.
What is complex number?The complex number is of the form a+ib where a and b are real numbers.
The given number is 10-7i.
Compare the given number with a+ib and determine the values of a and b.
a=10
b=-7
In the complex number, a+ib the real part is a and b is the imaginary part.
So, the real part of the given number is 10 and the imaginary part is -7i.
To learn more about complex number click:
https://brainly.com/question/20566728
#SPJ2
Ricky Bobby currently has $500 in his savings account, and figures that he will add $25 per week from his
job. He realizes that he can use the equation
S=25w+500 where S is the amount in savings and w= number of weeks from now.
a. How much will he have saved in 15 weeks
b. When will Ricky Bobby have $1200?
Answers
Ricky Bobby will have saved $875 in 15 weeks and he will have $1200 in 28 weeks.
Firstly solving first part of the question. Here, we need to calculate the savings in 15 weeks. To perform this calculation, we will keep the number of weeks in place of variable w.
Savings = 25×15 + 500
Performing multiplication
Savings = 375 + 500
Performing addition
Savings = $875
Now, solving the second part, which is finding the number of weeks. We will keep the savings amount at place of variable S.
1200 = 25w + 500
25w = 1200 - 500
Performing subtraction
25w = 700
w = 700 ÷ 25
Performing division
w = 28
Therefore, Ricky Bobby will have saved $875 in 15 weeks and he will have $1200 in 28 weeks.
Learn more about equations -
https://brainly.com/question/2972832
#SPJ9
pls help me on this
Answers
Answer:
0.3(25)
Step-by-step explanation:
Of = multiply30% = 0.330% of 25 = 0.3(25)I hope this helps!
If the area of the triangle with vertices (5,2),(x,4) and (0,3) is 25/2, find x?
Answers
x=7
Pretty Simple.. h h h
The value of the variable 'x' will be 20. Then the third vertice of the triangle is (20, 4).
What is the area of the triangle?The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃).
Then the area of the triangle will be
Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|
The vertices of the triangle are given as,
(x₁, y₁) ⇒ (5, 2)
(x₂, y₂) ⇒ (x, 4)
(x₃, y₃) ⇒ (0, 3)
Then the area will be
Area = 1/2[{5 × 4 + x × 3 + 0 × 2} – {2 × x + 4 × 0 + 3 × 5}]
25/2 = 1/2 [20 + 3x – 2x – 15]
25 = [x + 5]
x = 25 – 5
x = 20
The value of the variable 'x' will be 20. Then the third vertice of the triangle is (20, 4).
More about the area of the triangle link is given below.
https://brainly.com/question/16653962
#SPJ2
The health benefits Daisy receives from his employer covers 45% of the total montly premium of $350.00. How much does Daisy have to pay each month?
Answers
Answer:
$192.5
Step-by-step explanation:
1. turn 45% into .45
2. multiply .45 x 350
3. get 157.5 and then subtract 350-157.5
4. answer is 192.5
help me please! is compound interest
Answers
Answer:
7,200
Step-by-step explanation:
which of the following is a linear function
Answers
Answer:
The 1st one?
Step-by-step explanation:
Sorry if I'm wrong
WILL GIVE BRAINLIEST
The difference of two numbers is 2. Their sum is 10. Find the numbers.
Answers
Answer:
6 and 4
Step-by-step explanation:
6 + 4 = 10
6 - 4 = 2
Hope this helped you :)
6 and 4
6-4 = 2
6+4 = 10
They tell you the sum is 10, so think of #'s that make 10:
1,9
2,8
3,7
4,6
5,5
Now, which ones make 2 when subtracted
9-1 = 8
8-2 = 6
7-3 = 4
6-4 = 2
5-5 = 0
Therefore, the answers are 6 and 4
2 What is the solution set of
|4x - 1|= 3?
Answers
Answer:
Exact Form:
x = 1 , − 1/ 2
Decimal Form:
x = 1 , − 0.5
Step-by-step explanation:
QUICK MATH