1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mezya [45]
3 years ago
10

Find (f ∘ g)(-6) when f(x) = 9x + 2 and g(x) = -9x2 - 2x + 1.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

Given that the two functions are f(x)=9x+2 and g(x)=-9x^2-2x+1

We need to determine the value of (f \circ g)(-6)

<u>The value of </u>(f \circ g)(x)<u>:</u>

The value of (f \circ g)(x) can be determined using the formula,

(f \circ g)(x)=f[g(x)]

Substituting g(x)=-9x^2-2x+1 in the above formula, we get;

(f \circ g)(x)=f[-9x^2-2x+1]

Now, substituting x=-9 x^{2}-2 x+1 in the function f(x)=9x+2, we get;

(f \circ g)(x)=9(-9x^2-2x+1)+2

(f \circ g)(x)=-81x^2-18x+9+2

(f \circ g)(x)=-81x^2-18x+11

Thus, the value of (f \circ g)(x) is (f \circ g)(x)=-81x^2-18x+11

<u>The value of </u>(f \circ g)(-6)<u>:</u>

The value of  (f \circ g)(-6) can be determined by substituting x = -6 in the function (f \circ g)(x)=-81x^2-18x+11

Thus, we have;

(f \circ g)(-6)=-81(-6)^2-18(-6)+11

(f \circ g)(-6)=-81(36)-18(-6)+11

(f \circ g)(-6)=-2916+108+11

(f \circ g)(-6)=-2797

Thus, the value of  (f \circ g)(-6) is -2797

Hence, Option B is the correct answer.

You might be interested in
Write the expression that shows "3 times the sixth power of ten."
KIM [24]
3 x 10 (with a small 6 at the top right of the ten). Hope this helped
8 0
3 years ago
Read 2 more answers
What fraction is greater than C on the given number line above?
Ghella [55]

Answer:

2/5

Step-by-step explanation:

C is at the second tick of 6 segements, so C = 2/6 = 1/3.

If we convert all fractions to /60, you can easily see the answer:

1/3 = 20/60

2/5 = 24/60

1/4 = 15/60

1/5 = 12/60

So we're looking for an answer larger than 20/60, which is only 24/60, a.k.a. 2/5.

4 0
3 years ago
Read 2 more answers
How to find domain and range of a graph​
Nadya [2.5K]

Answer:

the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

5 0
2 years ago
There was 7L of punch for the birthday party. How many mL of punch was<br> there?
Mnenie [13.5K]

Answer:

7000 ml

Step-by-step explanation:

hope this helps!!!!!!!!!

3 0
2 years ago
What is the prime factorization of 81m 2 x 3?
N76 [4]
The answer to your question is <span>3^4 · m^2 · x^3 </span>
4 0
3 years ago
Other questions:
  • If u know this help me I got a lot of homework 6 grade work
    8·1 answer
  • I need some help plz
    13·1 answer
  • How do you convert14/16 to a percent?
    9·1 answer
  • Help me please!!°-°​
    6·1 answer
  • write the following integers in ascending order (smallest to biggest).1._5,2,1,_8 2. _4,_3,_5,2 3._10,_15,-7​
    7·1 answer
  • For this assignment, make a list of behaviors someone may be motivated to do to satisfy each of the following needs according to
    7·1 answer
  • Help me with Question 4
    15·2 answers
  • The formula to convert Celsius to Fahrenheit is FC +32. Convert 87°F to
    10·1 answer
  • Blankdsffffffffffffffffffffffffffffffffffffffffffffffdsf sdffffffffffff sdf
    5·2 answers
  • How do I find the angles here?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!