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[tex]\left(\dfrac{g}{f}\right)(x)=\dfrac{g(x)}{f(x)}\\\\\text{We have}\ f(x)=x\ \text{and}\ g(x)=1.\ \text{Substitute}\\\\\left(\dfrac{g}{f}\right)(x)=\dfrac{1}{x}\\\\\text{The domain}:\ x\neq0\\\\Answer:\ \boxed{\text{All real numbers except 0}\to x\in\mathbb{R}-\{0\}}[/tex]

The domain of the function is a real number except 0 because the function is not defined at x = 0.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The functions are given below.

f(x) = x

g(x) = 1

Then the domain of the function (g/f)(x) will be

(g/f)(x) = 1 / x

Then the graph of the function is given below.

The domain of the function is a real number except 0 because the function is not defined at x = 0.

More about the domain and range link is given below.

https://brainly.com/question/12208715

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