Respuesta :

Answer:

its b i just took the test

The inverse of the function [tex]y = x^{2} -12[/tex] is [tex]y =[/tex]±[tex]\sqrt{x+12}[/tex].

What is inverse function?

An inverse function or an anti function is defined as a function, which can reverse into another function.

How to find inverse of a function?

The general steps for finding the inverse of a function are:

1) swap a and y.

2) Solve for y.

According to the given question

We have a function [tex]y = x^{2} -12[/tex]

By using the two steps we will find the inverse of the above function.

Swap x and y

⇒[tex]x = y^{2} -12[/tex]

Solve for y

⇒[tex]x + 12=y^{2}[/tex]

⇒ y =±[tex]\sqrt{x +12}[/tex]

Therefore,

The inverse of the function [tex]y = x^{2} -12[/tex] is [tex]y =[/tex]±[tex]\sqrt{x+12}[/tex].

Learn more about inverse function here:

https://brainly.com/question/2541698

#SPJ2