Math  /  Algebra

QuestionDetermine whether f is a rational function and state its domain. f(x)=x33x+52x7f(x)=\frac{x^{3}-3 x+5}{2 x-7}
Is f a rational function? Yes No What is the domain of ff ? Select the correct choice below and, if neces box to complete your choice. A. D={xxD=\{x \mid x \geq \square \} (Type an integer or a simplified fraction.) B. D={xxD=\{x \mid x \neq \square 3 (Type an integer or a simplified fraction. Use a comma to sepe as needed.) C. D={xx<D=\{x \mid x< \square 3 (Type an integer or a simplified fraction.) D. The domain is all real numbers.

Studdy Solution
f(x)f(x) **is** a rational function.
The domain of f(x)f(x) is all real numbers *except* for x=72x = \frac{7}{2}.
This corresponds to choice B, where the domain is D={xx72}D = \{x \mid x \neq \frac{7}{2}\}.

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