Question

What the inverse of
f(x)=4x²

Answer 1

`f(x)=4x^2\to y=4x^2\\\\\text{Interchange the y and the x}\\\\x=4y^2\\\\\text{Solve for y}\\\\4y^2=x\qquad|:4\\\\y^2=(x)/(4)\to y=\sqrt{(x)/(4)}\\\\y=(√(x))/(\sqrt4)\\\\y=(√(x))/(2)\\\\Answer:\ \boxed{f^(-1)(x)=(√(x))/(2)}\ for\ x\geq0`