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Domain

f x =7/ x +2/...

Question

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

A

R - {1}

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B

R - {- 1, 0, 1}

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C

R - {0}

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D

R

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Solution

The correct option is B $R - {- 1, 0, 1}$
$f (x) = \frac{7}{x} + \frac{2}{x + 1} + \frac{1}{x - 1}$

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

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