Question

Given: f(x) = x - 7 and h(x) = 2x + 3

Answer 1

ANSWER

$h(f(x))=2x-11$

EXPLANATION

Given $f(x)=x-7$

and

$h(x)=2x+3$

We want to find

$h(f(x))=h(x-7)$

This means we substitute the function $f$ in to another function $h$ and evaluate.

This implies that;

$h(f(x))=2(x-7)+3$

We expand the parenthesis to obtain;

$h(f(x))=2x-14+3$

We simplify further to obtain;

$h(f(x))=2x-11$

Hence the correct answer is A

Answer 2

Answer:

The correct answer option is h(f(x)) = 2x - 11

Step-by-step explanation:

We are given two functions:

$f(x) = x-7$  and  $h(x) = 2x+3$

and we supposed to find another function which is $h(f(x))$.

To find $h(f(x))$, we need to substitute the value of $f(x)$ in the other function i.e. $h(x)$ to get:

$h(f(x)) = h(x-7)$

$h(f(x))= 2(x-7)+3$

$h(f(x))=2x-14+3$

$h(f(x)) 2x-11$

Therefore, the correct answer is h(f(x)) = 2x - 11.