Question

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

Answer 1

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

Explanation:

To find the rule for f(h(x)), substitute h(x) = 2x + 3 into f(x) = x - 7:

f( ) = ( ) - 7 becomes

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