Question 183005

given f(x) =3/x^2-1 and g(x) = x + 1 find f o g(x). Determine the domain.
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fog(x) = f[g(x)] = f[x+1] = 3/[(x+1)^2-1]
 
= 3/[x^2+2x+1 - 1]
= 3/[x^2+2x]

= 3/[x(x+2)]
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Domain:
all Real Numbers except x = 0 and x = -2

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Cheers,
Stan H.