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For the functions f(x) = 1/x-4 and g (x) = 11/x, find the composition f times g and simplify your answer as much as possible. Write the domain using interval notation.
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For the functions f(x) = 1/x-4 and g (x) = 11/x, find the composition f times g and simplify your answer as much as possible. Write the domain using interval notation.

For the functions f(x) = 1/x-4 and g (x) = 11/x, find the composition f times g and-example-1
User Derek Slager
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1 Answer

1 vote

Answer:


f(x) = (1)/(x - 4)


g(x) = (11)/(x)


f(g(x)) = f( (11)/(x) ) = (1 )/( (11)/(x) - 4) = (x)/(11 - 4x)

Domain: (-infinity, 2.75) U (2.75, infinity)

User DompuAmanat Fadilla
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