Respuesta :

Answer:

Step-by-step explanation:

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

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

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

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

The equation of the composite function is f(h(x)) = 2x-4.

What is Composite Function?

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g. In this operation, the function g is applied to the result of applying the function f to x.

Here, f(x) = x - 7

         h(x) = 2x + 3

Now, f(h(x)) = f ( 2x + 3)

                   = (2x+3)-7

                   = 2x + 3 -7

                  = 2x - 4

Thus, the equation of the composite function is f(h(x)) = 2x-4.

Learn more about Composite Function from:

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