Saturday
May 25, 2013

# Homework Help: math

Posted by matt on Monday, May 28, 2012 at 11:12pm.

what is the inverse of: f(x) = 2(x – 4)^2 + 5

• math - Steve, Tuesday, May 29, 2012 at 11:23am

y = 2(x-4)^2 + 5
(y-5)/2 = (x-4)^2
If we take the square root, there are two branches. Let's take the + branch:

sqrt((y-5)/2) = x-4
x = 4 + sqrt((y-5)/2)

so, f-1(x) = 4 + sqrt((x-5)/2)

technically, f has no inverse, since there is not a unique value of x for each value of y.

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