Question

How do you find the inverse of this function?

Answer 1

Solve for x then replace x with f⁻¹(x) and y with x


y=(4^x-5)/3
times 3
3y=(4^x-5)
add 5
3y+5=4^x
take log₄ both sides
log₄(3y+5)=x
switch
f⁻¹(x)=log₄(3y+5)