Given: f(x) = x - 7 and h(x) = 2x + 3 write the rule for h(f( h(f(x)) = 2x - 11 h(f(x)) = 2x - 7 h(f(x)) = 2x - 4 h(f(x)) = 3x - 4

ANSWER

EXPLANATION

Given

and

We want to find

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

This implies that;

We expand the parenthesis to obtain;

We simplify further to obtain;

Hence the correct answer is A

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

Step-by-step explanation:

We are given two functions:

 and  

and we supposed to find another function which is .

To find , we need to substitute the value of in the other function i.e. to get:

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