# Find f(g(x)) f(x)=x/(x+1) , g(x)=11/x

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Set up the composite result function.
Evaluate by substituting in the value of into .
Multiply the numerator by the reciprocal of the denominator.
Simplify the denominator.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Find f(g(x)) f(x)=x/(x+1) , g(x)=11/x