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If fx=2x2-4...

Question

If $f (x) = 2 x^{2} - 4$ and $g (x) = 2 x$ , for what value s of $x$ will $f (x) = g (x)$ ?

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Solution

The correct option is C $- 1$
To find the values for which $f (x) = g (x)$ , set the functions equal to each other:
$2 x^{2} - 4 = 2 x$
$2 x^{2} - 2 x - 4 = 0$
$2 (x^{2} - x - 2) = 0$
$2 (x - 2) (x + 1) = 0$
$x - 2 = 0$ or $x + 1 = 0$
$x = 2$ or $x = - 1$

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