SOLUTION: For the given functions f and g, find the following and state the domain for each result. f(x)= sqrt x; g(x)= 6x-5 a) (f*g)(x)= b) what is the domain of f*g c) (f/g)(x)=

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Question 636647: For the given functions f and g, find the following and state the domain for each result.
f(x)= sqrt x; g(x)= 6x-5
a) (f*g)(x)=
b) what is the domain of f*g
c) (f/g)(x)=

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
For the given functions f and g, find the following and state the domain for each result.
f(x)= sqrt x; g(x)= 6x-5
a) (f*g)(x)=(sqrt(x))(6x-5) = 6x^(3/2) - 5x^(1/2)
----------------------------------------
b) what is the domain of f*g
Domain: All Real Numbers >= zero
----------------------------------------
c) (f/g)(x)= sqrt(x)/(6x-5)
Domain: All Real Numbers >= zero excluding x = 5/6
=====================================================
Cheers,
Stan H.

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