F(x)=2x-7, g(x)=X+7 ——- 2

Mathematics

1 answer:

il63 [147K]1 year ago

8 0

The composite function of f(x) and g(x) is given by:

(f ∘ g)(x) = x.

Since the composite function equals x, it means that f(x) and g(x) are inverses of each other.

<h3>What is the question?</h3>

This problem is incomplete, but researching it on a search engine, it asks for the composite function of f(x) and g(x).

<h3>What is the composite function of f(x) and g(x)?</h3>

The composite function of f(x) and g(x) is given by:

(f ∘ g)(x) = f(g(x)).

For this problem, the functions are given as follows:

f(x) = 2x - 7.

g(x) = 0.5(x + 7).

Hence the composite function is given by:

(f ∘ g)(x) = f(g(x)) = f(0.5(x + 7)) = 2[0.5(x + 7)] - 7 = x + 7 - 7 = x.

Since the composite function equals x, it means that f(x) and g(x) are inverses of each other.

More can be learned about composite functions at brainly.com/question/13502804

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