Question

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

Answer 1

Answer:

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

(the second answer is f(h(x)) = 2x - 4)

Step-by-step explanation:

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

h(x) = 2x -14 + 3

h(x) = 2x - 11

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.