Find the numbers at which f is continuous. At which numbers is f discontinuous?
-$$f ( x ) = 4 \tan x$$
A) continuous for all real numbers except $x = 0$
B) continuous for all real numbers except $x = \frac { k \pi } { 2 }$ where $\mathrm { k }$ is an odd integer
C) continuous for all real numbers except $x = \frac { k \pi } { 4 }$ where $\mathrm { k }$ is an odd integer
D) continuous for all real numbers

Question

Quizplus · Accepted Answer

The function $f(x) = 4\tan(x)$ is continuous wherever the tangent function is defined. The tangent function is undefined and has vertical asymptotes at $x = \frac{k\pi}{2}$ where $k$ is an odd integer, leading to discontinuities at these points.

Find the Numbers at Which F Is Continuous f(x)=4tan⁡xf ( x ) = 4 \tan xf(x)=4tanx

Find the Numbers at Which F Is Continuous $f ( x ) = 4 \tan x$