SOLUTION: 1.6 #48 given f(x) =3/8^2-1 and g(x) = x + 1 find f o g(x). Determine the domain.

Algebra ->  Graphs -> SOLUTION: 1.6 #48 given f(x) =3/8^2-1 and g(x) = x + 1 find f o g(x). Determine the domain.      Log On


   

Question 183005This question is from textbook College Algebra A Graphing Approach
: 1.6 #48
given f(x) =3/8^2-1 and g(x) = x + 1 find f o g(x). Determine the domain. This question is from textbook College Algebra A Graphing Approach

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!

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.