find the inverse of the function y=x^2-12
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The inverse of the function [tex]y = x^{2} -12[/tex] is [tex]y =[/tex]±[tex]\sqrt{x+12}[/tex].
An inverse function or an anti function is defined as a function, which can reverse into another 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].
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