Question

Given the functions, f(x) = 3x - 6 and g(x) = x2 + 5x + 7, perform the indicated operation. When applicable, state the domain restriction.
f(g(x)).

Options:
1. x2 + 8x + 1
2. 3x2 + 15x + 21
3. 3x2 + 15x + 15
4. 3x3 - x2 - 9x - 42

Answer 1

I hope this helps you

Answer 2

The required function of function f(g(x)) =  3x2 + 15x + 15.

f(x) = 3x - 6
g(x) = x2 + 5x + 7
f(g(x)) to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x).

f(x) = 3x - 6
g(x) = x^2 + 5x + 7
Now the function of function
f(g(x)) = 3(x^2 + 5x + 7)-6
         = 3x^2+15x+21-6
         =  3x^+15x+15

Thus, The required function of function f(g(x)) =  3x2 + 15x + 15.

learn more about function here:

brainly.com/question/21145944

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