Question

Determine whether f(x)=5x+1/x and g(x)= x/5x+1 are inverse functions. Explain how you know.

Answer 1

@Tarynalycee

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Answer 2

A property of inverse functions is that if f(x) = a, g(a) = x

F(x) = (5x+1)/x
G(x) = x/(5x+1)

Plug in x = 3.
F(3) = 16/3
G(16/3) = 16/83. Since it doesn’t equal 3, it’s not an inverse function