Solution
Step 1:
Write the function:
f(x) = x - 5
Step 2
To find the inverse function, let f(x) = y.
a)
[tex]\begin{gathered} y\text{ = x - 5} \\ \\ x\text{ = y + 5} \\ \\ f^{-1}(x)\text{ = x + 5} \end{gathered}[/tex]Step 3
b)
[tex]\begin{gathered} f(f^{-1}(x))\text{ = x + 5 - 5 = x} \\ \\ f^{-1}(f(x))\text{ = x - 5 + 5 = x} \end{gathered}[/tex][tex]f^{-1}(x)\text{ = x + 5 is a function of f\lparen x\rparen.}[/tex]f