Answers
Answer;
f (x) = 2x-4g (x) =x^2
Step-by-step explanation:
The solution is 9x² + 12x - 1
The composition function f ( g ( x ) ) is 9x² + 12x - 1
What is Composition of functions?
Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
The value of f ( x ) = x² + 2x - 4
Let the second function be represented g ( x )
The value of g ( x ) = 3x + 1
Now , the composition function f ( g ( x ) ) is calculated by
Substitute the value of x as 3x + 1 , in f ( x ) , we get
f ( g ( x ) ) = f ( 3x + 1 )
f ( 3x + 1 ) = ( 3x + 1 )² + 2 ( 3x + 1 ) - 4
On simplifying the equation , we get
f ( 3x + 1 ) = ( 9x² + 6x + 1 ) + ( 6x + 2 ) - 4
f ( 3x + 1 ) = 9x² + 12x - 1
Therefore , the value of f ( 3x + 1 ) is 9x² + 12x - 1
Hence , the composition function f ( g ( x ) ) is 9x² + 12x - 1
To learn more about composition of functions click :
https://brainly.com/question/17673639
#SPJ2
Related Questions
The points represented by the table lie on a line. Find the slope of the line.
Answers
Step-by-step explanation:
11. step 1. m = (4 - 7)/(-3 - (-5))
step 2. m = -3/2.
A medical provider is doing a study to determine the average time spent waiting before an appointment. The current average wait time is 34 minutes, which is 15% shorter than the average was when the study started. What was the average wait time then?
Answers
Answer:
39.1 minutes
Step-by-step explanation:
Given that:
Current wait time = 34 minutes
Current wait time is 15% shorter than average wait time when study started.
Average wait time when study started :
15% of current wait time :
0.15 * 34
= 5.1 minutes
Average wait time when study started :
34 minutes + 5.1 minutes
= 39.1 minutes
Claire borrows money from a bank. She has to pay a $50 fee for borrowing money and $0.55 every day until the money is paid back. Which function below represents this situation?
A f(x) = 50 +0.55x
B f(x) = 50x +0.55
C f(x) = 55 +0.50x
D f(x) = 55x +0.50
Answers
Answer:
The correct answer is A)
Step-by-step explanation:
Find the median of the data set represented in the following stem-and-leaf plot.
62
63
64
67
Answers
Answer:
67
Step-by-step explanation:
A quantity with an initial value of 720 decays continuously at a rate of 9% per hour. What is the value of the quantity after 69 hours, to the nearest hundredth?
Answers
Answer:
1.45
Step-by-step explanation:
f(t)=720e^rt
f(t)=720e
rt
Continuously uses Pe^(rt)
r\text{: decays }9\% \
r: decays 9%→−0.09
per hour
f(t)=720e^{-0.09t}
f(t)=720e
−0.09t
(where t is in hours)
69\text{ hours: no time conversion necessary}
69 hours: no time conversion necessary
hours are the only units in the problem.
\text{Plug in }t=69
Plug in t=69
f(69)=720e^{-0.09(69)}
f(69)=720e
−0.09(69)
1.44665097413
1.44665097413
\approx 1.45
≈1.45
Round to the nearest hundredth
4(x + 3) = 3(3x - 1)
Answers
Answer:
Either 4x+12 ≠ 9x-3 OR x = 3
Hope this helps!! (Please mark Brainliest if possible!!)
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]4(x+3)=3(3x-1)[/tex]
Distribute 4 and 3 into the parentheses
[tex]4x+12=9x-3[/tex]
Combine like terms; subtract both sides by 12
[tex]4x+12-12=9x-3-12\\4x=9x-15[/tex]
Combine like terms; subtract both sides by 9x
[tex]4x-9x=9x-15-9x\\-5x=-15[/tex]
Divide both sides by -5 to isolate x
[tex]\frac{-5x}{-5} =\frac{-15}{-5} \\x=3[/tex]
I hope this helps!
Jill brought 2 1/3 boxes of carrot muffins for a bake sale. Mike brought 5 3/4. boxes of apple muffins. What is the total number of boxes of muffins Jill and Mike brought to the bake sale? Enter your answer as a fraction in simplest form.
Answers
Answer:
8 1/6
Step-by-step explanation:
2 1/3= 2 4/12
5 3/4= 5 9/12
add those, and you get 8 2/12, or 8 1/6
Neil has 2 pounds of grapes. He uses some to make a fruit salad. Now Neil has 8 ounces of grapes. How many ounces of grapes does Neil use for the fruit salad?
Answers
Answer:
Neil uses 24 ounces of grapes for the fruit salad.
Step-by-step explanation:
Quantity of grapes = 2 pounds
Use 1 pound = 16 ounces
So,
Quantity of grapes = 2(16) = 32 ounces
Neil uses some grapes to make a fruit salad. Now Neil has 8 ounces of grapes.
Quantity of grapes that Neil use for the fruit salad = [tex]32-8=24[/tex] ounces
Therefore,
Neil uses 24 ounces of grapes for the fruit salad.
who's your favorite grey's anatomy character?
Answers
Answer:
Mc Steamy
Step-by-step explanation:
A student scored 80 and 93 on her first two quizzes. Write and solve a compound inequality to find the
possible values for a third quiz score that would give her an average between 85 and 90, inclusive.
Answers
Answer:
I think it would be 87.5 as an average between 85 and 90.
Step-by-step explanation:
P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.
Answers
Answer:
P = - 1
Step-by-step explanation:
Given P varies inversely with x the the equation relating them is
P = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition P = 12 when x = 4
12 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
48 = k
P = [tex]\frac{48}{x}[/tex] ← equation of variation
When x = - 48, then
P = [tex]\frac{48}{-48}[/tex] = - 1
Evaluate the expression
[tex](3-1)^{3} +7(6)-5^{2}[/tex]
Answers
Step-by-step explanation:
(3-1)³ = (3³-1³)
= 27-1
=26
7(6) = 42
5² = 25
(3-1)³ + 7(6) - 5² = 26 + 42 -25
= 43
3. Subtract (7x + 10)-(-6x + 8).
Answers
Hope this helps.
Need help asap !!!!! its math! WI GIVE BRAINLIEST AND A FOLLOW
AND PLEASE SHOW HOW U GOT THE ANSWER Quick
QUESTION:
33 1/3 as a fraction
Answers
Kim got 82%, 75%, and 74% on the first 3 tests.
What grade does she need on the 4th test to have an average of 80% on all 4 tests?
A. 77%
B. 80%
O c. 85%
D. 89%
E. 100%
Answers
Answer:
C
Step-by-step explanation:
Add all percentages together, then divide by how many you added.
Answer:
C
Step-by-step explanation:
Evaluate the expression and enter your answer below.
6^2-3
To the power
Answers
Answer:
[tex]33[/tex]
Step-by-step explanation:
[tex]6^2-3[/tex]
First we do 6^2:
[tex]6^2\\6*6=36[/tex]
Now we have to subtract by 3:
[tex]36-3=33[/tex]
33 is your final answer.
6^2-3
Start by doing the power
6^2 = 36
Now subtract by the number 3 to get our answer
36-3=33 (Answer)
Microsoft Rewards
Earn Gift Cards using Microsoft Rewards by searching daily and completing daily tasks.
In ΔIJK, i = 74 inches, j = 23 inches and ∠K=20°. Find the area of ΔIJK, to the nearest square inch.
Answers
Answer:
291in^2
Step-by-step explanation:
Using the formula
Area of the triangle = 1/2absin theta
A = 1/2ijsin<K
Given
i = 74in
j = 23in
<K = 20 degrees
Area = 1/2 * 74*23sin20
Area = 37*23sin20
Area = 852sin20
Area = 291.059in^2
Hence the area of the triangle to nearest square inch is 291in^2
Which expression is equivalent 10x+10
A.2x+5x+4x+5+5
B.2x+8x+1+3+6
C.5x+5x+2+4+4+1
D.2x+9x+5+5
(7th grade) Combing like terms.
Answers
Answer:
the answer to that question is letter A.2x+5x+4x+5+5
The standard form of y = 5(x + 4)(x + 5) is
Answers
Answer:
mark me as brainliest plz
Answer:
21 is Correct answer hope you will like it
Pls HAAAAAAAALLLLPPPPP plez
I give brainliest to whoever answers correctly w/ explanation.
answer the question below
i don’t get it, pls explain
Answers
The angle of TQV: 50
Answer:
C. 2x = 100
Step-by-step explanation:
Vertical angles are 2 angles which are vertical and have the same degree. For example, if an angle which is vertical to another is 80°, the other angle is 80° too. The reason why you can't say it's 50 is because they want you to identify the equation of it, so you can't really like shortcut through and you need to make an answer for explanation. Hence 2x = 100 is the best answer.
don’t understand........
Answers
Answer:
120 cubic inches.
Step-by-step explanation:
The formula for volume is length times width times height. So if you take the length (10), and you take the width (3), and then you multiply them together you get 30. Now all you have to do it multiply that to the height (4) so you get 120. So your answer should be 120 cubic inches.
10 × 3 = 30
30 × 4 = 120
I hope this helps you and you understand now. Have a nice day! :D
There is an unknown number of people at the table at the
beginning of lunch. Then...
3 more people joined the group.
Then the entire group divided into 2 groups, and
one group left and went outside,
of the total students were left in the lunchroom
5 people joined the group in the lunchroom.
The total number of people in the lunchroom at the
end of lunch was 10
a. Write the equation you can create to show this situation.
b. How many people were at the table at the beginning of lunch? Explain how you know.
Answers
Answer:
11 hours ago u prob dont need it
Step-by-step explanation:
123456
Please help me 3x+y=-3
Answers
Answer:
x=0 y=-3
Step-by-step explanation:
Please help me I will give brainlyiest or how ever u spell it
Answers
Answer:
2
Step-by-step explanation:
the answer is 2
A rectangle has a length of (x + 6) units and a width of (x - 5) units. What is the area of the rectangle in terms of x?
Answers
Answer:
Area = x2 +x - 30
Step-by-step explanation:
area = length x width
(x+6) (x-5) = x2 +6x -5x -30 = x2 + x -30
Please help
Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.
Answers
Answer:
distributive property
9x+15
Step-by-step explanation:
The distributive property is whenever you have () and distribute until you have zero of these ()
The equivalent expression simply means write this equation differently.
choose the answer that represents the product below as an exponential expression*
Answers
Answer:
B
Step-by-step explanation:
the bases are the same and according to exponential laws exponents of the same base are added
Answer:
B
Step-by-step explanation:
please help!!!!!!!!!!!!
Answers
Step-by-step explanation:
1 3/4 × 4/7 = 1
вот правильный ответ я проверяла )
Answer:
4/7
Step-by-step explanation:
13/4.x=1
7/4x=1
x=4/7
i need help with this pls 20 points for the right answer
Answers
Answer:
hiiii
Step-by-step explanation:
sorry I have not idea like what garde are u I'm
Is 1,48 rational or irrational
Answers
Answer:This number is classified as rational
Step-by-step explanation: Have a great day!
