Question

Find the inverse of the function y = 2x2 + 2

Answer 1

we have that
y = 2x² + 2

step 1

exchange the value of x for y and the value of y for x
y = 2x² + 2------> x=2y²+2

step 2
clear y variable
 x=2y²+2----> 2y²=x-2----> y²=[(x-2)/2]-----> y=(+/-)√[(x-2)/2]

step 3
the inverse is
f(x)-1=(+/-)√[(x-2)/2]

Answer 2

Answer:

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

Step-by-step explanation: