Question

Find the inverse of the function y = x2 – 12

Answer 1

Y=sqrt(x+12) is ur answer

Answer 2

Keywords:

Function, inverse of a function, variable

To find the inverse of a function we must clear the value of the variable x and finally return change.

By definition we have to:

Be a function of the form $y = f (x)$, the inverse of that function is given by:

$f ^ {- 1} (y) = f ^ {- 1} (x) = x$

Then we have the following function:

$y = f (x)$

Where $f (x) = x ^ 2 - 12$

We clear x:

$x ^ 2 = y + 12$

$x = \pm\sqrt {y + 12}$

Returning the change we have:

$f ^ {- 1} (x) = \pm\sqrt {x + 12}$

Answer:

The inverse function of $y = x ^ 2 - 12$is $f ^ {- 1} (x) = \pm\sqrt {x + 12}$