Given f(x) = 1/x+4 and
g(x) = 8/x-1, find the given domain of f(g(x)).

he domain of the composition is all real x values except for x = -1

In other words:

Step-by-step explanation:

Let's find the composition in order to answer about its domain (where on the Real number set the function is defined), give the two functions:

   and      :

This rational function is defined for every real number except when the denominator adopts the value zero. Such happens when:

So the domain of the composition is all real x values except for x = -1

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step-by-step explanatio89

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.