SOLUTION: Find f^1 f(x)= 3-(x-5)^2, x is less then or = to 5 Thank you, Michelle

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Question 46846: Find f^1
f(x)= 3-(x-5)^2, x is less then or = to 5
Thank you, Michelle

Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
f%5E1+%28x%29 is just f%28x%29.
f%28x%29=3-%28x-5%29%5E2
x%3C=5
The maximum value will occur when nothing is subtracted from the 3 in f(x), i.e. when x=5.
f%285%29=3
All other values of x will give f(x)<3, and there is no lower limit to the value of f(x), it will be negative infinity when x=-infinity.
I have dr4awn the graph up to x=5 below.
+graph%28+300%2C+200%2C+0%2C+5%2C+-22%2C+4%2C+3-%28x-5%29%5E2%29+
I hope this helps,
Adam
P.S. please visit my website, it may be helpful to you. The address is www.geocities.com/quibowibbler