Value of g(ƒ (0)) =18 .
Definitions of f(x) and g(x) -
Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.
The composition (g ° f)(x) means "evaluate f at x, then evaluate g at the result f(x)". The product (g*f)(x) means "evaluate g and f at x and multiply the results".
An algebraic function is a function that involves only algebraic operations. These operations include addition, subtraction, multiplication, division, and exponentiation.
given
f(x) = 3x²+x-6
g(x) = -4x - 3
find the value of g(ƒ (0))
g(ƒ (0)) = ?
g( f(x) ) = 3 ( f(x) )² +( f(x) )−6
Now, replace every f(x) on the right side with the function you entered in for f(x) :
g(f(x)) = 3( f(x) )² +( f(x) )−6
⇓
g(f(x)) = 3( −4x−3 )² +( −4x−3 )−6
Simplify the expression.
g(f(x)) = 3(−4x−3)² +(−4x−3)−6
= 3(−4x−3)² − 4x−9
So, g(f(x))=3(−4x−3)² −4x−9.
g(ƒ (0)) = 3(−4× 0 −3)² −4× 0−9
g(ƒ (0)) = 3(−3)² −9
g(ƒ (0)) = 3 × 9 −9
g(ƒ (0)) = 27 − 9
g(ƒ (0)) =18 .
Hence, by using the definitions of f(x) and g(x) the value of g(ƒ (0)) =18.
To learn more about Function Composition
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need help pls asap
Answer:
D
Step-by-step explanation:
3x+5=2x+5
lol im doing the review to my midterm for math, and i completely forgot how to do this, can someone tell me the steps or something? i wish there was more context but this is all i can give.
Answer:
A
Step-by-step explanation:
Two interior angles on the same side of a transversal intersecting 2 parallel lines are supplementary.
121 + x + 70 = 180
191 + x = 180
x = 180 - 191
x = - 11
It takes 1/3 cup of rice to make one serving. How many servings of rice can you make with 4 cups? pls answer I will mark brainliest
I would say twelve i think
duuno
Five less than six times a number is
the same as seven.
Answer:
2
Step-by-step explanation:
hope this helps
Finding the slope of the line.
How do you do it? Please help
1) What was an advantage the British forces had during the war?
2) What was a disadvantage for the British?
3) What was an advantage for the American forces?
4) What was one disadvantage for the Americans? HELP QUICK
Answer:
1. They had a fully formed government and powerful empire
2. They were fighting in an area that was 3,000 miles away from their home country
3. They knew the layout of the land
4. Their currency was far worse than that of the British, and they didn't have access to gold which was a universal currency
Can someone help me please
Answer:
17 inches
Step-by-step explanation:
Find the HCF and LCM of 160 and 252 by prime factorisation method and verify that HCF x LCM = Product of the two given numbers.
Answer:
HCF=4
LCM=10080
HCF x LCM = Product of the two given numbers is verified because 403200=40320
Step-by-step explanation:
HCF of 160 and 252
HCF is the product of common prime factors
Prime Factorisation of 160: 2x2x2x2x2x5
Prime Factorisation of 252: 2x23x3x7
HCF= 2x2
HCF=4
40 and 63 doesn't come in any other table together so,
HCF= 2 x 2 = 4
Now, finding LCM of 160 and 252
LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.
Prime Factorisation of 160: 2x2x2x2x2x5
Prime Factorisation of 252: 2x23x3x7
In the given factors 2x2 is common so, it is considered once.
LCM= 2x2x2x2x2x3x5x7
LCM= 10080
Now, checking:
HCF x LCM = Product of the two given numbers.
4x10080=160x252
403200=40320
So, It is verified that HCF x LCM = Product of the two given numbers.
What ratio is equivalent to 5 to 4
6v^2+13v-8= −3 solve the equation for all real solutions
Answer:
v = -5/2, 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Standard Form: ax² + bx + c = 0FactoringQuadratic Binomial RootsStep-by-step explanation:
Step 1: Define
6v² + 13v - 8 = -3
Step 2: Solve for v
Add 3 to both sides: 6v² + 13v - 5 = 0Factor: (2v + 5)(3x - 1) = 0Find roots: v = -5/2, 1/3I will give brainlist if you answer all these questions please! I promise I will :))
I will give you brainlist and 5 stars if you answer :))
Answer:
I'm going to assume the question is asking for a unit rate, and it would be 2 minutes per bag
Step-by-step explanation:
Can someone explain step by step process
Answer:
Step-by-step explanation:
3*7*10*10*10*10*10*10*10
(5+2=7)(since is multiplication you add)
21*[tex]10^{7}[/tex]=B
2*10*10*10*10*10
4*10*10
(5-2=3)(since is division you subtract)
0.5*[tex]10^{3}[/tex]=c
what is the factors of 125, 135 and 55
Answer:
125 = 1, 5, 25, 125
135= 1, 3, 5, 9, 15, 27, 45, 135
55= 1, 5, 11, 55
the common factor in all three numbers is 5
Natalia earns a base salary of $210 each week as a waitress. She usually makes an additional 15% in tips on all orders. Natalia has set a goal to make $1,000 each week. What inequality can she use to calculate x , the total dollar amount of orders needed for her to meet her goal?
Answer:
The inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.
Step-by-step explanation:
The amount that Natalie makes each week is the result of adding up the base salary she earns plus the result of multiplying the dollar amount of orders for 15% and this result should be greater than or equal to $1,000, which would be:
210+0.15x≥1,000
Now, you can solve for x:
x≥(1,000-210)/0.15
x≥5,267
According to this, the answer is that the inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.
Find the mode of the data. 8,4,5,3,4,5,3,7,6
Answer:
3,4,5
Step-by-step explanation:
appear mutiple times
Mode= 4, 5, 3
this is mode for the data because To find the mode, or modal value,it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode...hope this helps
determine the rate of change for the graph from 2010 to 2012
Answer:
B)-20 students per year
You and some friends go to a book fair where booths are set out in rows. You
buy drinks at the refreshment stand and then walk 8 rows north and 2 rows
east to the science fiction booth. Then you walk 1 row south and 2 rows west
to the children's book booth. Where is the children's book booth in relation to
the refreshment stand?
Answer:
7 rows north of refreshment stand
Step-by-step explanation:
8 rows north and then 2 rows east followed by 1 row south and then 2 rows west will put you directly north of the refreshment stand but since you have traveled one row south, it will be 8-1 = 7 rows north of the refreshment stand
The attached graphic may help you understand better
Hope that helps
Pls help me -.-" Mike surveyed 250 teenagers to find out their favorite food. He found that 76% of the teenagers surveyed like burgers. Part A: How many teenagers surveyed like burgers? Show your work. (4 points) Part B: In another survey, Jane found that 25% of the total number of teenagers surveyed like sandwiches. If 50 teenagers like sandwiches, what is the total number of teenagers that Jane surveyed? Show your work. (4 points) Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)
Answer:
A. 190 Teenagers
B. 200 Teenagers
C. A situation where we can have percentage greater than 100 % is found during increase in growth of population
Step-by-step explanation:
Part A.
Mike surveyed 250 teenagers to find out their favorite food. He found that 76% of the teenagers surveyed like burgers. Part How many teenagers surveyed like burgers?
We were told from the question, 76% of the teenagers surveyed loved burgers.
Total number of teenagers = 250
Therefore, the number of teenagers surveyed that loved burgers =
76/100 × 250
= 190 teenagers
Part B: In another survey, Jane found that 25% of the total number of teenagers surveyed like sandwiches. If 50 teenagers like sandwiches, what is the total number of teenagers that Jane surveyed?
Let the total number of teenagers surveyed be represented by x
Therefore,
25% of x = 50 teenagers
25/100 × x = 50
25x/100 = 50
Cross Multiply
25x = 100 × 50
25x = 5000
x = 5000/25
x = 200
Therefore, 200 teenagers were surveyed
Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)
A situation where we can have percentage greater than 100 % is found during increase in growth of population
Answer:
Mark above brainiest!
Step-by-step explanation:
You cant make brainly without a second answer! ;] So mark them brainly!
What is the least common denominator used to add the fractions 1/18 and 5/12
Answer:
6
Step-by-step explanation:
Im right
Due to a late summer drought, the change in water level (in feet) in the pond behind Eastview is falling
every day. The Science Club made a graph of the water level over time.
They found the y-intercept to be (0,26). They determined the x-intercept to be (52,0).
Thoroughly explain the meaning of the x-intercept. (Use a full sentence that includes the values of that
intercept.)
Answer:
The x-intercept represents when the water level of the Eastview pond. This shows that the Eastview pond's water level reached 0 at 52 (days/years/hours/minutes... etc).
Question8: Find the miss
exponent (y)
(3x³)(4x³) = 12x¹2
Answer: 12x⁶
Step-by-step explanation:
[tex](3x^3)(4x^3)=\\\\(3)(4)(x^3)(x^3)=\\\\12x^{3+3}=\\\\12x^6[/tex]
A customer purchased a total of 16 washcloths and towels. Each washcloth costs $10.50 and each towel cost $15.00. The customer spent a total of 226.50. How many washcloths did the customer buy? (pls help me!)
Out of 90 candies, 30% are chocolate candies. How many candies are chocolate candies
Answer:
27 candies are chocolate candies.
Step-by-step explanation:
What we need to do is find 30% of 90, since this number will be the number of chocolate candies.
30% of 90 is basically 3/10 (30%) of 90:
(3/10) x 90 = 27
There are 27 chocolate candies.
Answer:
27
Step-by-step explanation:
it is as simple as 3*90÷10
Plz hurry I will give 17 points
their notes to help them process the
The editing and formatting features of eNotes allow students to blank
information.
The answers are organize,translate,increase,misplace
Answer:
Organize
Step-by-step explanation:
Please help ASAP!!!!!!
Answer:
the third one i think :p
Step-by-step explanation:
√72
Plzzzzzzzz help
I have 3 more
√619
√77
√89
Answer:
[tex]\sqrt{72} =8.48528\\\sqrt{619} =24.8797\\\sqrt{77} =8.77496\\\sqrt{89} =9.43398[/tex]
Step-by-step explanation:
hope this helps :)
Mr. R's kindergarten class has 22 students. There are 2 more girls than boys in his class. How many boys are there?
let x=
let y=
Answer:
13
Step-by-step explanation:
If we want to find out if there are an equal amount of boys and girls, then we do 22/2 which is 11. BUT, it says there are two more girls than boys. So...
11+2 since there are two more boys than girls. 11+2=13 girls.
A model rocket is launched from the top of a building. The height (in meters) of the
rocket above the ground is given by f (t) = -4t² + 16+ + 12 where t is the time (in
seconds) since the rocket was launched.
Answer:
boba
Step-by-step explanation:
asbgd hdjdjn126 = 57 round it to 58