Which of the following is a rational function?

A) $f ( x ) = x ^ { 3 / 2 } - 1 + \frac { 1 } { x }$
B) $f ( x ) = \frac { x ^ { 2 } - 1 } { 5 x - 6 }$
C) $f ( x ) = \sqrt { | x | + 6 }$
D) $f ( x ) = 8 x + \sqrt [ 3 ] { x }$
E) $f ( x ) = \frac { 5 x } { \sqrt { x ^ { 2 } + 1 } }$

Question

Which of the following is a rational function?

A) $f ( x ) = x ^ { 3 / 2 } - 1 + \frac { 1 } { x }$
B) $f ( x ) = \frac { x ^ { 2 } - 1 } { 5 x - 6 }$
C) $f ( x ) = \sqrt { | x | + 6 }$
D) $f ( x ) = 8 x + \sqrt [ 3 ] { x }$
E) $f ( x ) = \frac { 5 x } { \sqrt { x ^ { 2 } + 1 } }$

Quizplus · Accepted Answer

A rational function is defined as a function that can be expressed as the quotient of two polynomials. Choice B, $f(x) = \frac{x^2 - 1}{5x - 6}$, fits this definition, as both the numerator and the denominator are polynomials.

Which of the Following Is a Rational Function? A) f(x)=x3/2−1+1xf ( x ) = x ^ { 3 / 2 } - 1 + \frac { 1 } { x }f(x)=x3/2−1+x1​

Which of the Following Is a Rational Function?

A) $f ( x ) = x ^ { 3 / 2 } - 1 + \frac { 1 } { x }$