Question

What is the inverse of y = 2x2 – 5?

Answer 1

2x2 = y+5
x2 = y/2 + 5/2
x = sqrt(y/2 + 5/2)

Answer 2

if it is
\[y=2x^2-5\] it does not have an inverse because it is not one to one. if you want to solve for x you can write
\[y-5=2x^2\]
\[\frac{y-5}{2}=x^2\]
\[x=\pm\sqrt{\frac{y-5}{2}}\]