Composite Functions and their domains

l-mayfield

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Let f(x) =1/x+4 and g(x)=-1/x. Find (f º g)(x) and (g º f)(x). Give the domain of each
 
l-mayfield said:
Let f(x) =1/x+4 and g(x)=-1/x. Find (f º g)(x) and (g º f)(x). Give the domain of each

Domain of f(x) is every real number except -4 .

Domain of g(x) is every real number except 0 .
 
Thank you Aladdin but I also need the composite equation solved. Can you help me with that?
 
l-mayfield said:
Thank you Aladdin but I also need the composite equation solved. Can you help me with that?

Let f(x) =1/x+4 and g(x)=-1/x. Find (f º g)(x) and (g º f)(x)

f(g(x)) = [1/(-1/x)] + 4 = -x + 4

g(f(x)) = -1/[((-1/x)+4)] = x / (1-4x)
 
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