Question

How do I find the inverse of the function? Also, is it a function and why?

Answer 1

Explanation:

Essentially, begin by flipping the x and y terms:

x = (1 - 2y)^2 + 5

Then, solve for y:

`\ x = (1-2y)^2 + 5\\√(x-5) = 1 - 2y\\√(x-5) - 1 = 2y\\(√(x-5) - 1)/(2) = y^-1\\`

Because we know there is only 1 y-value for any given x-value, the inverse of the given function is also a function.