To determine the inverse function, first, we set the following equation:
[tex]y=-10+8x\text{.}[/tex]
Now, we solve the above equation for x:
[tex]\begin{gathered} y+10=8x, \\ \frac{y+10}{8}=x\text{.} \end{gathered}[/tex]
Exchanging x and y, we get:
[tex]y=\frac{x+10}{8}\text{.}[/tex]
Finally, we substitute y by
[tex]f^{-1}(x)[/tex]
and get:
[tex]f^{-1}(x)=\frac{x+10}{8}\text{.}[/tex]
Answer:
[tex]f^{-1}(x)=\frac{x+10}{8}\text{.}[/tex]
