SOLUTION: Let f(x)= sqrt x−6 and g(x)=x−17. (a) Find (f/g)(15) Show work (b) Find the domain of the quotient function f/g . Explain.

Algebra ->  Average -> SOLUTION: Let f(x)= sqrt x−6 and g(x)=x−17. (a) Find (f/g)(15) Show work (b) Find the domain of the quotient function f/g . Explain.      Log On


   

Question 1116582: Let f(x)= sqrt x−6 and g(x)=x−17.
(a) Find (f/g)(15) Show work
(b) Find the domain of the quotient function f/g . Explain.
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
%28f%2Fg%29%28x%29=%28f%28x%29%2Fg%28x%29%29=%28sqrt%28x-6%29%29%2F%28x-17%29

The numerator requires x%3E=6 and the denominator requires x%3C%3E17.

The domain is the set of real numbers x such that 6%3C=x%3C17 AND 17%3Cx%3Cinfinity.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)= sqrt x−6 and g(x)=x−17.
(a) Find (f/g)(15) = f[g(15)] = f[15-17] = f[-2] = -2-6 = -8
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(b) Find the domain of the quotient function f/g . Explain.
f/g = (x-6)/(x-17)
Domain:: All Real Numbers except x = 17
Cheers,
Stan H.
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