If F (x)=x^2-1 then find f inverse?

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Answer 1 · 2018-04-25T04:51:12

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

Let #y=f(x).# Then,

#y=x^2-1#

To determine the inverse function, switch the places of #x# and #y#, and subsequently solve for #y:#

#x=y^2-1#

#y^2=x+1#

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

Since this is the inverse, #y=f^(-1)(x)#:

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