Question 101203: f(x) = 2x -1
g(x) = Square root (x-1)
Find the domain of f, g, f+g, f-g, fg, ff, f/g, and g/f.
I actually got the answers to the domain of f and g, but i'm confused on how to find the others based on just f and g.
Like for the domain of f, I got (-infinity, positive infinity)
then for the domain of g, (negative infinity, 1) U (1, positive infinity)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! (x) = 2x -1
g(x) = Square root (x-1)
Find the domain:
f: all real numbers
g: x>=1
f+g: x>=1 because sqrt(x-1) is one of the terms
f-g: x>=1 becaue sqrt (x-1) is one of the terms
fg= f(sqrt(x-1))= 2sqrt(x-1)-1: x>=1 same reason
ff: all Real numbers
f/g = (2x-1)/sqrt(x-1)
Domain is x > 1
g/f = sqrt(x-1)/(2x-1)
Domain is x>=1
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Cheers,
Stan H.
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