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

The inverse of the function is y =

In order to find this, you must start by switching the y and x values. Once you do this, you can solve for the new y value and that will be in inverse. The work is done for you below.

y = 2x^2 + 2 ---> switch x and y

x = 2y^2 + 2 ---> subtract 2 from both sides

x - 2 = 2y^2 ---> divide both sides by 2

= y^2 ---> take the square root of both sides.

= y

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

step-by-step explanation: