SOLUTION: Find the domain of the composite function f º g. f(x)=1/(x+10); g(x)= x+5
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Question 60235
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Find the domain of the composite function f º g.
f(x)=1/(x+10); g(x)= x+5
Answer by
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f(x) = 1/(x+10)
g(x) = x + 5
f(g(x)) = f(x + 5)
= 1/{(x+5)+10} [Replacing x by x+5 in f(x)]
= 1/(x+15)
==> f o g (x) = 1/(x+15)
Domain of f o g = {x : x is real and not equal to -15}
Good Luck!!!