ASAP! find the inverse of the function y=2x^2+2 a. y=√x-2
b. y=√1/2x-1
c. y=√2x^2-4
d. y=√1/2x-1​

Step-by-step explanation:

We want to find the inverse of the function:

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

Solve for y. Subtract two from both sides:

Divide both sides by two:

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

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: