Find the domain on which the function $f (x) = 2 x^{2} - 5$ and $g (x) = 5 x - 2$ are equal.

3, - \frac{1}{2}

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- 3, - \frac{1}{2}

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3, \frac{1}{2}

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- 3, \frac{1}{2}

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Solution

The correct option is A $3, - \frac{1}{2}$
$f (x) = 2 x^{2} - 5$
$g (x) = 5 x - 2$

Find the values of $x$ for which the above two functions are equal.
That is,
$f (x) = g (x)$

$2 x^{2} - 5 = 5 x - 2$

$2 x^{2} - 5 x - 3 = 0$

$(2 x + 1) (x - 3) = 0$

$x = 3$ or $x = - \frac{1}{2}$

Suggest Corrections

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