How to find inverse of this equation: $g(x)=e^{3x-1}+\sec{{\pi}x}$

Question

Question:

How to find inverse of this equation: $g(x)=e^{3x-1}+\sec{{\pi}x}$

My thoughts on this

I know that If i was to normally find the inverse you would replace the Y with the X's and solve for y but I dont think that is how it is supposed to work in this problem?

Answer 1

As one can quickly see from a graph, the function is not one-to-one, so it doesn't have an inverse function...