Question

If $f\left(x\right)=\frac{7}{x}+\frac{2}{x+1}+\frac{1}{x-1},$ then domain of the function is

• A. $R-\left\{1\right\}$
• B. $R-\{-1,0,1\}$
• C. $R-\left\{0\right\}$
• D. $R$

Answer 1

The correct option is B $R-\{-1,0,1\}$

$f\left(x\right)=\frac{7}{x}+\frac{2}{x+1}+\frac{1}{x-1}$

Clearly, function is not defined at $x=0,\pm 1$
Hence, domain of the function is $R-\{-1,0,1\}$