Find the inverse of the function y = x2 – 12

Question

asked Dec 15, 2017 98.2k views

2 Answers

Ethrbunny · Answer 1 · 2017-12-21T12:50:32+0000

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