Question

What is the inverse of [tex] x^{2} -2?

Answer 1

Assuming you want the inverse of f(x)=x²-2,

f(x)=x²-2
repalce f(x) with y
y=x²-2
switch x and y
x=y²-2
solve for y
x=y²-2
x+2=y²
√(x+2)=y
replace y with f⁻¹(x)
f⁻¹(x)=√(x+2)

the inverse is √(x+2)