Determine which of the rational functions given below has the following feature(s).
-The $x$-intercept is 2
A) $f ( x ) = \frac { x + 2 } { x + 9 }$
B) $f ( x ) = \frac { x + 9 } { x - 2 }$
C) $f ( x ) = \frac { 2 x - 1 } { x + 9 }$
D) $f ( x ) = \frac { x - 2 } { x + 9 }$

Question

Quizplus · Accepted Answer

The $x$-intercept of a function occurs where $f(x) = 0$. For a rational function, this happens when the numerator is equal to zero (and the denominator is not zero at that point). In option D, setting $x - 2 = 0$ gives $x = 2$, which makes it the correct choice.

Determine Which of the Rational Functions Given Below Has the Following