find the inverse of the function

Question

find the inverse of the function y=8x² which has an inverse of y^-1

Answer 1

To find the inverse, switch the x and y and solve for y.

 

x = 8y²

y² = x/8

y = √(x/8) = √x/√8 = √x/(2√2) = √2x/4

 

y^-1 = √2x/4