SOLUTION: Find the domain of the functions: (a). f(x)= the sqaure root of 3-x (b). g(x)= x/x^2-5x

SOLUTION: Find the domain of the functions: (a). f(x)= the sqaure root of 3-x (b). g(x)= x/x^2-5x

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Question 32529: Find the domain of the functions:
(a). f(x)= the sqaure root of 3-x
(b). g(x)= x/x^2-5x
Answer by mukhopadhyay(490) (Show Source): You can put this solution on YOUR website!
Domain of f(x)= Sqrt(3-x) can be found from restriction (3-x)>= 0 => x<= 3;
Domain of g(x)= x/x^2-5x = x/[x(x-5) can be found from following restrictions:
x !=0 and (x-5) !=0 (none of the denominators can be zero)
=> x!=0 and x!=5
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