Question

The domain of f(x)=1/log[x] is R-A then the number of elements in the set A is

Answer 1

Answer:

Is it clear

hope this helps u........

Answer 2

Given:

$f(x)=\frac{1}{log|x|}$

Domain of $f(x)$ is $R-A$

To Find:

The number of elements in $A$.

Solution:

We know that the function $log|x|$ is equal to $0$ at $x=1$.

So, $\frac{1}{log|x|}$ at $x=1$ does not exist because $\frac{1}{0}$ is not defined.

Also, at $x=0$,  $log|x|$ is not defined.

And therefore the domain of $f(x)=\frac{1}{log|x|}$ will be $R$ - {$0,1$} where R is the set of all real numbers.

Hence the number of elements in A will be 2 which are 0 and 1.