How do you find the inverse of #f(x)=x^2 - 1#?

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Answer 1 · 2015-09-27T12:57:01

Find the inverse by swapping x and y, then solve for y.

#y = x^2-1#

Now, swap x and y:

#x = y^2-1#

Finally, solve for y:

#y = +- sqrt(x+1)#

So, the inverse is:

#f^-1(x) = +- sqrt(x+1)#

hope that helps!