Answers
f(x) = 4x
g(x) =
[tex] \sqrt{x^{2} \: - \: 1 } [/tex]
h(x) =
[tex] \sqrt{16x \: - \: 1} [/tex]
We want to check if h(x) = g(f(x))
So g(f(x)) =
[tex] \sqrt{(4x) {}^{2} - \: 1} [/tex]
Simplified;
g(f(x)) =
[tex] \sqrt{16x {}^{2} \: - \: 1 } [/tex]
But h(x) =
[tex] \sqrt{16x \: - \: 1} [/tex]
Hence g(f(x)) is not equal to h(x)
Related Questions
you are solving an equation with a variable on each side. does the side on which you choose to isolate the variable affect the solution? why might you choose one side over the other?
Answers
Answer:
Does the side on which you choose to isolate the variable affect the solution?
No, because at the end you get an equation with a variable on one side only.Why might you choose one side over the other?
To simplify or minimize the number of operations you need. Moving part of the terms from one side to another adds at least one extra operation and it may also bring some complications.the number of seats in a movie theater
Answers
13. There are about 4 • 10% known species of beetles.
The number of known species of caddis flies is
about 104. How many times more species of beetles
are there than caddis flies?
Answers
Answer:
40
Step-by-step explanation:
If you drive 565 miles a day, how far will you have gone at the end of a week?
Answers
If you drive 565 miles a day for 7 days do 565 times 7!
Determine whether the statement is true or false.
Every real number is an irrational number.
Answers
Answer:
Firstly irrational number are any real number that cannot be expressed as the quotient of two integers . For example there is no number among integers and fractions that equals the square root of 2 .
Hope I helped
What is x and the unknown angle? May I also get a brief explanation of how to do it?
Answers
Answer:
149+(13x+5)=180
154+13x=180
13x=26
x=2
Answer:
see explanation
Step-by-step explanation:
The 2 angles are adjacent on a straight line and sum to 180° , then
149 + 13x + 5 = 180 , that is
154 + 13x = 180 ( subtract 154 from both sides )
13x = 26 ( divide both sides by 13 )
x = 2
Then
unknown angle = 13x + 5 = 13(2) + 5 = 26 + 5 = 31°
A.It has point symmetry.
B.It has rotational symmetry with an angle of rotation of 120°.
C.It has reflectional symmetry with eight lines of symmetry.
D.It has no reflectional symmetry.
Answers
Answer:
c. It has a reflectional symmetry with 5 lines of symmetry
Step-by-step explanation:
Answer:
Step-by-step explanation:
(B). It has rotational symmetry with an angle of rotation of 120°.
Determine the gradient of line AC
Answers
Answer:
This formula can also be written as \(y - {y}_{1} = m\left(x - {x}_{1}\right)\). The standard form of the straight line equation is \(y = mx + c\) where \(m\) is the gradient and \(c\) is the \(y\)-intercept.
When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient?
123.4
1234 over 12
123 + 4
1234 over 1480
Answers
Answer:
123.4
Step-by-step explanation:
-4|8-5n|=19
-4|8-5n|=-19
I need the work shown for me pls so if anyone can help
Answers
Step-by-step explanation:
-4|8-5n|=19
-4/-4|8-5n|=19/-4
|8-5n|=4.75
5n=4.75-8
5n=-3.25
5n/5=-3.25/5
n=-0.65
if it is wrong sory
What can you do if a decimal product has final zeros to the right of the decimal point
Answers
Answer:
place the decimal point in the product so that the number of decimal places in product is the sum of decilal places in the factors. keep all zeros in the product when you place the decimal point. you can drop the zeros on the right once the decimal point has been placed in the product.
If a < b, what additional assumptions on a and b will guarantee that a^2 < b^2. Prove your assumption.
Answers
Answer:
An additional assumption is that a is not negative.
Step-by-step explanation:
If a could be negative, then:
(-7)^2 < 3^2 would be false because
49 is not greater than 9
what two numbers when multiplied makes 6 but when added equals -10
Answers
James is selling a bike on an internet auction website. he pays £1.45 insertion fee, £2.85 for an enhanced advert and a selling fee of £1.95 when the bike is sold. what are his total selling fees to the nearest pound (£)
Answers
Hello :D
£1.45 + £2.85 = £4.30
£4.30 + £1.95 = £6.25
£6.25 to the nearest pound = £6.00
Answer: Selling fees = £6 (rounded to the nearest pound)
Step-by-step explanation:
Given information
Insertion fee = £1.45
Enhanced advert = £2.85
Selling fee = £1.95
Given expression deducted from the given information
Total = insertion + enhanced advert + selling
Substitute values into the expression
Total = (1.45) + (2.85) + (1.95)
Simplify by addition
Total = 4.3 + (1.95)
Total = 6.25
[tex]\boxed{Total=6}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the value of x and d.
Answers
Step-by-step explanation:
2x-5=71 ---> x=38
71+76=147 ---> d=33
PLEASE HELP
write and solve an equation to find the value of X. please explain in details and show your work!
Answers
The answer is x=34 degrees.
The answer you are looking for is x=34.
Solution/Explanation:
First things first, we need to understand that the sum of the angles of a triangle is 180°. We can apply this fact for the problem.
So, that means that the sum of all of the angles of this triangle is 180°.
So, therefore, we can formulate an equation:
2x+20+2x-10+x=180.
So, we now have our expression.
Now, all we need to do is simplify it.
Combining similar-like terms,
2x+2x+x+20-10=180.
Simplifying it now,
5x+10=180.
Subtracting 10 from both sides of the equation,
5x+10-10=180-10.
5x=170.
Finally, dividing both sides by 5,
5x/5=170/5.
x=34.
So, therefore the final answer is x=34.
I hope that this has helped you. Enjoy your day, and take care!
35 POINTS, i dont understand this question!!!! can someone give me a brief yet useful explanation??
Answers
surveying a random sample of 25 students attending a school football game
Don't forget put heart ♥️
a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?
Answers
Answer:
it will be 736 speed faster than
A rectangles length is 6 units greater than its width. Write an equation expressing the rectangles area, A, as a function of W
Answers
Answer:
A = W² + 6W
Step-by-step explanation:
The width is W.
The length is 6 units greater than the width, so the length is W + 6.
The area is the product of the length and width.
A = (W + 6)W
A = W² + 6W
If 3^x=243^4, then what is x?
Answers
Answer:
x=20
Step-by-step explanation:
3^x=243^4
3^x=(3^5)^4
3^x =3^20
x=20
perimeter is 21cm Length is 7.5cm and the Breadth is not given
Answers
Answer:
The answer is 3cm
Please give branliest!
Step-by-step explanation:
(S1×2)+(S2×2)=21cm
(S1+S2)×2=21cm
S1+S2=21÷2
7.5+S2=10.5
S2=10.5-7.5
S2=3
Breadth=3cm
Step-by-step explanation:
p=2(l+b)
21=2(7.5+b)
21=15+2b
21-15=2b
6=2b
6/2=b
b=3
Find the value of x
Answers
Answer:
[tex]sum \: of \: exterir \: anges \: for \: a \: polygon = 360 \\ 5x - 5 + x + 4x - 5 + 4x + 20 = 360 \\ x \: terms \: togather \\ 5x + x + 4x + 4x - 5 - 5 + 20 = 360 \\ 14x + 10 = 360 \\ 14x = 360 - 10 \\ 14x = 350 \\ x = \frac{350}{14} = 25 \\ x = 25 \\ thank \: you[/tex]
Answer:
SUM OF EXTERIOR ANGLES=360
Step-by-step explanation:
5x-5+4x-5+4x+20+x=360
14x+10=360
14x=350
x=350/14
x=25
The area of a rectangle is represented by 9× + 15 and the length of the rectangle is 3. What is the width of the rectangle
Answers
Answer:
Step-by-step explanation:
l*b = 9x+15
3*b=9x+15
b=9x+15/3
b=3x+5 ans
Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units. Triangle A B C is shown. Point D is the midpoint of side A B and point E is the midpoint of side B C. The lengths of A D and D B are 3 t, the lengths of B E and E C are 4 t, and the length of A C is 7 t + 6. What is the value of t
Answers
9514 1404 393
Answer:
t = 2 units
Step-by-step explanation:
The perimeter is the sum of the side lengths:
AD +DB +BE +EC +AC = 48 = 3t +3t +4t +4t +7t +6
42 = 21t . . . . . . subtract 6 and simplify
42/21 = t = 2 . . . . . . divide by the coefficient of t
the raidan measure of an angle is equal to the ratio of the legnth of its intercepted arc to the radius
A.True
B.False
Answers
Answer:
True.
Step-by-step explanation:
As long as the vertex of the angle is at the center of curvature of the intercepted arc.
- (x^2 - 3x + 2) - x(x - 4)
Answers
Answer:
[tex] - (x^{2} - 3x + 2) - x(x - 4) \\ = ( - x^{2} + 3x - 2) + ( - x ^{2} + 4x) \\ = - 2 {x}^{2} + 7x - 2[/tex]
I hope I helped you^_^
Answer:
[tex] = - 2 {x}^{2} + 7x - 2[/tex]
Step-by-step explanation:
[tex] - ( {x}^{2} - 3x + 2) - x(x - 4)[/tex]
[tex] - {x}^{2} + 3x - 2 - x(x - 4)[/tex]
[tex] - {x}^{2} + 3x - 2 - {x}^{2} + 4x[/tex]
[tex] - {2x}^{2} + 3x - 2 + 4x[/tex]
[tex] \boxed{\green{ = - 2 {x}^{2} + 7x - 2}}[/tex]
[tex]stan \: \: Dreamcatcher \\ and \: \: stream \: \: BEcause \\answered \: \: by \: \: a \: \: fellow \: \: InSomnia[/tex]
Can someone help me thanks!
Answers
Answer:
If it goes to the left it becomes in the hundredths place meaning it decreases
Step-by-step explanation:
Solve the following expression when
k= 12
(4k + 2) = 10
Answers
Answer:
5
Step-by-step explanation:
(4k + 2) ÷ 10
(4(12) + 2) ÷ 10
(48 + 2) ÷ 10
(50) ÷ 10
= 5
Hope this helps!! <3
The solution to the expression (4k + 2 ) ÷ 10 when k = 12 is 5
From the given expression, we are to solve for (4k + 2) ÷ 10
When
k = 12What we are going to do is that we will replace k with 12 wherever we see (k) in the expression given
∴
= (4k + 2 ) ÷ 10
= (4(12) + 2 ) ÷ 10
= (48 + 2) ÷ 10
= (50) ÷ 10
= 5
Learn more about mathematical expressions here:
https://brainly.com/question/20596193?referrer=searchResults
solve this equation by completing the square p^2 + 16p - 17 = 0
Answers
Answer: p=1
Step-by-step explanation:
[tex]p^{2}+16p-17=0\\p^{2}+16p=17\\1^{2}+16(1)=17\\1+16=17\\p=1[/tex]
(p-1)(p+16)
Also, here's the cross method in completing the square that I tried in the file attachment. I haven't done this in a while, so this may not be neat.
Simplify (6+5x)+(7x+3)
Answers
Answer: 12x + 9
Step-by-step explanation:
Given
(6 + 5x) + (7x + 3)
Put like terms together
=5x + 7x + 6 + 3
Combine like terms
=[tex]\boxed {12x+9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions