Find the inverse of the function

Question

f(X)= 2x^2 - 3

Answer 1

y = 2x^2 - 3
inverse:
x = 2y^2 - 3
2y^2 = x+3
y^2 = (x+3)/2

y = ± √( (x+3)/2 )

btw, the inverse is not a function

Answer 2

since f is not single-valued, it has no inverse.

For x>=0,
f^-1(x) = √((x+3)/2)

There is also a branch for x <= 0

Answer 3

sorry. The branches split at x = -3, not x=0.