Question
Asked Dec 13, 2019
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given f(x)= (x)/(x-8) and g(x)= (3x)/(x+1)
find (f o g)(x) and state its domain

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Expert Answer

Step 1

From the given information it is required to calculate composition of given two functions.

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х f (x)=- Зх 8(x)=- x +1

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Step 2

Now, calculate the composition of two functions:

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(Гоg)(+)-/(«(*)) Зх х+1 Зх х+1 Зx х +1 Зх х+1 Зх — 8(х +1) х+1 —3х S(8(x))= 5х+8 || ||

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Step 3

Domain is the set of possible values for which function is defined.

The composition f...

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5x +8 = 0 5x =-8 -8

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Tagged in

Math

Algebra