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

Answer:

a)

$f^{-1}(17)=9$

b)

$f(46)=92$

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)

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