SOLUTION: wat is the domain of f(x)=1/x and g(x)=x+3 and f of g of x algebraically?

SOLUTION: wat is the domain of f(x)=1/x and g(x)=x+3 and f of g of x algebraically?

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Question 164265: wat is the domain of f(x)=1/x and g(x)=x+3 and f of g of x algebraically?
Answer by padmameesala(42) (Show Source): You can put this solution on YOUR website!
f(x)=1/x is not defined when x=0 so the domain of f is Real numbers without zero
and g(x)=x+3 is defined for all values of x so the domain of g is Real numbers
f(g(x))=f(x+3)=1/(x+3) which is not defined when x=-3
so the domain of f of g is real numbers excluding -3 that is R-{-3}
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