Question

Find the inverse of the function y=2x^2+2

Answer 1

I attached a picture of the work and answer, I hope it helps!

Answer 2

The inverse of the function is y = ± √((1/2)x-1).

What is a inverse function?

The inverse function returns the original value for which a function gave the output. The inverse function of a function f is a function that undoes the operation of f.

For the given situation,

The function is y = 2x^2+2.

The inverse of the function can be found by replacing the function y as x and x as y. Then find the value of y.

$y = 2x^2+2$

Replacing the function y as x and x as y

⇒ $x=2y^{2}+2$

⇒ $x-2=2y^{2}$

⇒ $y^{2} =\frac{x-2}{2}$

⇒ $y=\sqrt{\frac{x-2}{2} }$

Hence we can conclude that the inverse of the function is                        y = ± √((1/2)x-1).

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