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

1 Answer
Apr 25, 2018

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

Explanation:

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)