Question

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

Answer 1

To find the inverse of the function, swap x and y and solve for y. The inverse of y = 2x^2 + 2 is y = ±√((x - 2) / 2).

Step-by-step explanation:

To find the inverse of the function y = 2x^2 + 2, we need to swap x and y and solve for y. Let's start:

Step 1: Replace y with x and x with y in the original equation:

x = 2y^2 + 2

Step 2: Solve for y:

2y^2 = x - 2

y^2 = (x - 2) / 2

y = ±√((x - 2) / 2)

Therefore, the inverse of the function y = 2x^2 + 2 is y = ±√((x - 2) / 2).

Answer 2

Y=sqrd 1/2x-1

Y equals plus or minus squared one half x minus 1