SOLUTION: For the function f(x)=(3-4x)^2, find f^-1. Determine whether f^1 is a function.

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Question 829446: For the function f(x)=(3-4x)^2, find f^-1. Determine whether f^1 is a function.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use x,y notation.
y=%283-4x%29%5E2
Now interchange x and y and solve for y.
x=%283-y%29%5E2
Take the square root of both sides:
sqrt%28x%29=3-y and -sqrt%28x%29=3-y
y=3+%2B+sqrt%28x%29 and y=3-sqrt%28x%29
This "new" y is the inverse of the original function.

The inverse is not a function since it does not provide one y value for each x value, it provides 2.