QuestionAugust 25, 2025

Find the domain of the function. f(x)=2+(7)/(x^5)

Find the domain of the function. f(x)=2+(7)/(x^5)
Find the domain of the function.
f(x)=2+(7)/(x^5)

Solution
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Answer

The domain of the function is (-\infty, 0) \cup (0, \infty). Explanation 1. Identify restrictions on the domain The function f(x)=2+\frac {7}{x^{5}} is undefined when the denominator is zero. Thus, x^5 \neq 0. 2. Solve for x Solve x^5 = 0. The solution is x = 0. 3. Determine the domain Since x \neq 0, the domain is all real numbers except zero.

Explanation

1. Identify restrictions on the domain<br /> The function $f(x)=2+\frac {7}{x^{5}}$ is undefined when the denominator is zero. Thus, $x^5 \neq 0$.<br />2. Solve for x<br /> Solve $x^5 = 0$. The solution is $x = 0$.<br />3. Determine the domain<br /> Since $x \neq 0$, the domain is all real numbers except zero.
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