Question

How do you find the inverse of `y = x^2 + 9`?

Answer 1

See explanation.

Explanation:

To find an inverse function you have to solve the function equation for the independent variable (usually `x`).

Here you would get:

`y=x^2+9` - first you can subtract #93 from both sides

`y-9=x^2` - next you have to take square root of both sides:

`x=sqrt(y-9)` - now we can write the inverse function returning to the conventional variable naming `x` as the independent variable and `y` as the function value.

Answer:

The inverse function is: `y=sqrt(x-9)`.