Question

What is the inverse function of `y=4x^2+3`?

Answer 1

Inverse function is `sqrt(x-3)/2`

Explanation:

Let `f(x)=y=4x^2+3`

Therefore `4x^2=y-3`

and `x^2=(y-3)/4` i.e. `x=sqrt(y-3)/2`

Hence, inverse function of `f(x)=4x^2+3` is `f^(-1)(x)=sqrt(x-3)/2`