Question

For the function f(x) = √11x+12, find the inverse function

Answer 1

The answer is
`f^(-1)(x)= (x^(2) - 12)/(11), x > =0`

Answer 2

`y=(x^(2)-12)/(11)`.

Explanation:

An inverse function is basically where you reflect the graph over the line x=y, , or when you switch the x and y points. Applying this logic, we have

`x=√(11y+12),` where 11y+12 is greater than 0, so y is greater than -12/11. Squaring both sides in the first equation, we get
`x^(2)=11y+12` which is equal to
`y=(x^(2)-12)/(11)`. And that is your answer! Hope it helps!

Edit:

Don't forget that y is greater than
`-(12)/(11)`!