Problema Solution

Can you please help me to find the inverse of the function if it exists.

f(z)=sqrt(3z+12).

Thank you

Answer provided by our tutors

f(z)=sqrt(3z+12).

Let f(z)=y.

y=sqrt(3z+12).

squarring both sides

y^2=3z+12.

3z=y^2-12.

z=(y^2-12)/3..

Now for finding inverse function interchange z and x.

f^-1(z)=y=(z^2-12)/3.