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

write the rule for h(f(

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

Step-by-step explanation:

h(f(x)) is a "composite function."  We use the function f(x) as the input to the function h(x):

h(x) = 2x + 3, or 2( x ) + 3; replacing x with f(x), or x - 7, we get:

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

h(f(x)) = 2x - 14 + 3, or

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

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