The function f is onetoone Find its inverse fx SolutionTo fi

The function f is one-to-one. Find its inverse. f(x) =

Solution

To find the inverse of any function F(x)

Just write y= F(x)

Plug x=y and y=x

Now solve for y.The resulting function is y= F^-1(x) is the inverse function

y = x^2 +1

Put y=x and x=y

x = y^2 +1

y^2 = x-1

y = sqrt(x-1) is the inverse of F(x)

F^-1(x) = sqrt(x-1)