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Given Function : f(x)= squrt (x-3) Determine the inverse and state is the inverse is a...
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High School Teacher
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f(x) = squrt (x-3)
Replace f(x) with y:
y = squrt (x-3)
Replace each y with x and each x with y:
x = squrt (y-3)
Solve for y:
x^2 = y - 3
y = x^2 + 3
Replace the y with f[-1]:
f[-1](x) = x^2 + 3
Since every x value produces a unique y value, it is indeed a function.
Hope this helps. Good luck!
Posted by rugbykats on July 14, 2011 at 10:42 AM (Answer #1)
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