precalculus help

Question

Express the function ℎ(x)=1/x+2 in the form f∘g. If g(x)=(x+2), find the function f(x).

Your answer is f(x)=

Answer 1

Let f(x) = 1/x. Then h(x) = f(g(x)) = f(x+2) = 1/(x+2).

Answer 2

f(g(x)) = 1/(x+2)

g(x) = y = x+2

y - 2 = x

f(y) = 1/(y-2+2) = 1/y

f(x) = 1/x

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