ANSWER
[tex]f^{-1}(x)\text{ = }\frac{x\text{ - 5}}{8}[/tex]EXPLANATION
We are given the function:
f(x) = 8x + 5
To find the inverse of the function, first replace f(x) with y:
y = 8x + 5
Now, make x the subject of the formula:
y - 5 = 8x
[tex]\Rightarrow\text{ x = }\frac{y\text{ - 5}}{8}[/tex]Now, replace x with f-1(x) and y with x:
[tex]f^{-1}(x)\text{ = }\frac{x\text{ - 5}}{8}[/tex]That is the inverse of the given function.
