Question

Assume that f is a one-to-one function.

(a) If f(9) = 17, find f^-1(17).
f^-1(17) =

(b) If F^-1(92) = 46, find f(46).
f(46) =

Answer 1

a)

`f^(-1)(17)=9`

b)

`f(46)=92`

Step-by-step explanation:

Given the one-to-one function;

a)

`f(9)=17,`

Recall that;

`\begin{gathered} \text{if} \\ f\mleft(a\mright)=b \\ f^(-1)(b)=a \end{gathered}`

so;

`\begin{gathered} \text{If;} \\ f(9)=17, \\ f^(-1)(17)=9 \end{gathered}`

b)

`\begin{gathered} \text{if} \\ f^(-1)(92)=46 \\ f(46)=92 \end{gathered}`