SOLUTION: f(x)=(1-x)/7x, g(x)=1/(1+7x) Find (f*g)(x) and its domain Find (g*f)(x) and its domain 4 answers and I am completely stuck trying to simplify this

Algebra ->  Functions -> SOLUTION: f(x)=(1-x)/7x, g(x)=1/(1+7x) Find (f*g)(x) and its domain Find (g*f)(x) and its domain 4 answers and I am completely stuck trying to simplify this       Log On


   

Question 1008850: f(x)=(1-x)/7x, g(x)=1/(1+7x)
Find (f*g)(x) and its domain
Find (g*f)(x) and its domain
4 answers and I am completely stuck trying to simplify this
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=(1-x)/7x, g(x)=1/(1+7x)
Find (f*g)(x) and its domain
f*g = (1-x)/[7x(1+7x)] = (1-x)/[7x+49x^2]
Solve: 7x + 49x^2 = 0
7x(1+7x) = 0
x = 0 or x = -1/7
Domain:: All Real numbers except x = 0 and x = -1/7
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Find (g*f)(x) and its domain
g*f = (1-x)/[7x(1+7x)]
Domain:: Same as above.
Cheers,
Stan H.
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