SOLUTION: if F is one-to-one, find equation for its inverse f(x)=(x-8)^2

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Question 80133: if F is one-to-one, find equation for its inverse
f(x)=(x-8)^2
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
if F is one-to-one, find equation for its inverse
f(x)=(x-8)^2
This is not a one to one function. Here's one way you can tell.
Graph the function, it's a function if you can draw a vertical line anywhere and only hit the graph once, it's a one to one function if you can also draw a horizontal line anywhere and only hit the graph once.
graph%28300%2C200%2C-5%2C15%2C-10%2C10%2C%28x-8%29%5E2%29
It's a function because you can draw a vertical line anywhere and only hit the graph once, however, if you were to draw a horizontal line you could hit the graph twice, therefore, it's not one to one.
You can only find the inverse of the function if they limit the domain of the original function to something like x>8 or x<8.
Happy Calculating!!!