Question

Which of the following functions are continuous for all real numbers? \begin{aligned} &h(x)= \log(x) \\\\ &g(x)=\cot(x) \end{aligned} ​ h(x)=log(x) g(x)=cot(x) ​

Answer 1

Answer:

None of them.

Step-by-step explanation:

1.) h(x)=log(x) is defined only for x >0. Therefore, it can't be continous for all real numbers.

2.)

$g(x)=\cot(x)=\dfrac{\cos(x)}{\sin(x)}$

is not defined for x=0. Therefore, it is not contionus at 0 and so it is not continous for all real numbers.