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.

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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)   (Show Source): You can put this solution on YOUR website!


The numerator requires and the denominator requires .

The domain is the set of real numbers x such that .

Answer by stanbon(75887)   (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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