Match the one-to-one functions with their inverse functions

QUESTION 1

The given function is



To find the inverse function, we let



This implies that,



This will give us,



We multiply through by 3 to obtain;



We now interchange x and y to obtain,



We make y the subject to obtain,





This implies that,


Therefore,



QUESTION 2

The given function is



To find the inverse function we let


We then interchange x and y to obtain,



We solve for y to obtain,



Therefore the inverse function is



Hence,



QUESTION 3.

The given function is



We want to find the inverse so we let



We now interchange x and y to obtain,



We now make y the subject, by first taking the cube of both sides of the equation.



Divide through by 2 to get,



Or



This implies that,



Therefore



QUESTION 4

The given function is



We let



Interchange x and y to get,



Make y the subject to get,



This implies that,