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Domain

The number of...

Question

The number of integral value(s) of $x$ which is/are not in the domain of $f (x) = \frac{2 x}{2 x^{2} + 3 x - 20}$ is

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Solution

For domain of the function $f (x) = \frac{2 x}{2 x^{2} + 3 x - 20}$
$2 x^{2} + 3 x - 20 \neq 0 \Rightarrow (2 x - 5) (x + 4) \neq 0 \Rightarrow x \neq - 4, \frac{5}{2}$

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