Given f(x)=2x^2-1, determine the equation of the inverse.

Answer 1

Interchange x and y, and solve for y in terms of x.
y=2x²-1
x=2y²-1
y²=(x+1)/2
y=√((x+1)/2)

Check:
f(√((x+1)/2))
=2(x+1)/2 -1
=x+1-1
=x OK

Answer 2

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