Given $f ( x ) = \frac { 4 x } { x ^ { 2 } + 3 x }$ , find all the $X$ values where $f$ is not continuous.
A) - 3
B) 0
C) 0 and - 3
D) - 3 and 3

Question

Quizplus · Accepted Answer

The function $f(x) = \frac{4x}{x^2 + 3x}$ is not continuous where the denominator equals zero, as this would result in division by zero. Factoring the denominator gives $x(x + 3)$, so the function is not continuous at $x = 0$ and $x = -3$.

Given f(x)=4xx2+3xf ( x ) = \frac { 4 x } { x ^ { 2 } + 3 x }f(x)=x2+3x4x​

Given $f ( x ) = \frac { 4 x } { x ^ { 2 } + 3 x }$