Question

How do you find the inverse of `f(x) =10^x` and is it a function?

Answer 1

Inverse of `f(x)`, `f^(-1)(x)=logx`, which is a logarithmic function.

Explanation:

Consider `y=f(x)` and then find `x=g(y)`, then `g(x)` is the inverse function of `f(x)`, which is written as `g(x)=f^(-1)(x)`.

Here `y=f(x)=10^x`, then `x=logy`

and hence inverse of `f(x)`, `f^(-1)(x)=logx`, which is a logarithmic function.