SOLUTION: Let f(x) = x2 - 16. Find f-1(x). ?

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Question 919113: Let f(x) = x2 - 16. Find f-1(x). ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If x+%3E=0, then

f%28x%29+=+x%5E2+-+16

y+=+x%5E2+-+16

x+=+y%5E2+-+16 Swap x and y. Then solve for y.

x%2B16+=+y%5E2

y%5E2=x%2B16

y=sqrt%28x%2B16%29 Since x+%3E=+0 this means y+%3E=+0 (remember x and y swapped).

The inverse function is

Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim