Question

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

Answer 1

Answer:

Step-by-step explanation:

Essentially, begin by flipping the x and y terms:

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

Then, solve for y:

$\ x = (1-2y)^2 + 5\\\sqrt{x-5} = 1 - 2y\\\sqrt{x-5} - 1 = 2y\\\frac{\sqrt{x-5} - 1}{2} = y^-1$

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