Mark (√) against the correct answer in the following:

Question:

Mark (√) against the correct answer in the following:

Let $f(x)=\frac{x}{\left(x^{2}-1\right)} \cdot$ Then, dom $(f)=?$

A. R

B. $R-\{1\}$

C. $R-\{-1\}$

D. $R-\{-1,1\}$

 

Solution:

$f(x)=\frac{x}{x^{2}-1}$

$x^{2}-1 \neq 0$

$x \neq(1,-1)$

$\therefore \operatorname{Dom}(f)=\mathrm{R}-\{-1,1\}$

 

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