find inverse of g(x)=2x^2-1

Answer 1

g(x)=2x^2-1
y = 2x^2 - 1

step1: interchange the x and y variables
---> x = 2y^2 - 1

step2: solve this new equation for y
2y^2 = x + 1
y^2 = (x+1)/2
y = ± √( (x+1)/2 )