Question

ASAP! find the inverse of the function y=2x^2+2

Answer 1

Answer:

$\displaystyle y=\sqrt{\frac{1}{2}x -1}$

Step-by-step explanation:

We want to find the inverse of the function:

$y=2x^2+2$

To find the inverse of a function, we will flip the variables and solve for y. So:

$x=2y^2+2$

Solve for y. Subtract two from both sides:

$x-2=2y^2$

Divide both sides by two:

$\displaystyle y^2=\frac{1}{2}x-1$

And take the principal square root of both sides. Therefore:

$\displaystyle y=\sqrt{\frac{1}{2}x -1}$