The domain of g(f(x)) where f(x)=x+4 and g(x)=sqrt(x) is?

1 answer

F(x) = x + 4.
g(x) = sqrt(x).
Find g(F(x)).

g(F(x))) = g(x+4) = sqrt(x+4).

Domain = All real values of X that does
not give a negative radical value:

Domain: X=> -4.
Therefore, the domain is all values of
X from -4 up.
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