Asked by edward
Find the domain of the composite function f◦g.
Find the domain of the composite function f◦g.
F(x)= 3/(x-3); g(x)= 2/x
Find the domain of the composite function f◦g.
F(x)= 3/(x-3); g(x)= 2/x
Answers
Answered by
Steve
f◦g = f(g) = 3/(g-3)
= 3/((2/x)-3)
= 3/((2-3x)/x)
= (3x)/(2-3x)
It looks like the domain of f◦g is all reals except x=2/3, but we also have to exclude x=0, since g is not defined there.
= 3/((2/x)-3)
= 3/((2-3x)/x)
= (3x)/(2-3x)
It looks like the domain of f◦g is all reals except x=2/3, but we also have to exclude x=0, since g is not defined there.
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