Question

find f^-1 (x) given that f (x) is 5x-3

Answer 1

f(x)=5x-3, is a continuos function and monotonic, so we can calculate the inverse function.
Now if I call y=5x-3, I can write:
\[x=\frac{ y+3 }{ 5 }\]
so:
\[f ^{-1}(y)=\frac{ y+3 }{ 5 }\]