find the inverse of the quadratic function y=x^2-1
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x = y^2 -1
x+1 = y^2
y = +/- sqrt(x+1)
x+1 = y^2
y = +/- sqrt(x+1)
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x = y^2 -1
move 1 to right hand side
x+1 = y^2
y = sqrt(x+1)
move 1 to right hand side
x+1 = y^2
y = sqrt(x+1)