Question

A canoe rental service charges per hour. The price can be represented by the following relationship: P(h) = 8.5h + 30Complete the following statements. Let P^-1 be the inverse function of P.a) Write a statement that describes P^-1(x)b)Find an equation for P^-1(x)c)Determine P^-1(72.5)

Answer 1

Given:

The function is,

$g(x)=-\frac{3}{4x}$

The objective is to find g(g(x)).

The value of g(g(x)) can be calculated as,

$\begin{gathered} g(g(x))=-\frac{3}{4(-\frac{3}{4})} \\ =-\frac{3}{4}(-\frac{4}{3}) \\ =1 \end{gathered}$

Hence, the value of g(g(x)) is 1.