Question

10 points!!

Find the inverse of f(x) = √x-1

Answer 1

Explanation:

For a function to have an inverse, it has to pass the horizontal and vertical line test, yes both of them. This function does, so we can continue. The first step for finding an inverse is replacing f(x) with y. Then switch the places of x and y.

`x=√(y-1)`

Now the next step is to solve for this new y value, which is equivalent to f^-1(x). Square both sides to get rid of the radical.

`x^2=y-1`

Add 1 to both sides and that is your inverse function

`y=x^2+1`

Answer 2

f
−
1
(
x
)
=
x
2
+
1
f
-
1
(
x
)
=
x
2
+
1