Question

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

Write the rule for f(h(x)).


f(h(x)) = 2x - 7

f(h(x)) = 2x - 4

f(h(x)) = 3x - 4

f(h(x)) = 3x - 7

Answer 1

B. f(h(x)) = 2x - 4

Explanation:

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

f(h(x)) = f(2x + 3) = (2x + 3) - 7 = 2x - 4

Answer 2

2nd option

Explanation:

to find f(h(x)) substitute x = h(x) into f(x) , that is

f(h(x))

= f(2x + 3)

= 2x + 3 - 7

= 2x - 4