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Functions

If f x = x 2+...

Question

If $f (x) = x^{2} + 2 x - 5$ and g(x) = 5x + 30, then the roots of the quadratic equation g[f(x)] will be

- 1, - 1

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2, - 1

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- 1 + \sqrt{2}, - 1 - \sqrt{2}

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1, 2

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Solution

The correct option is A $- 1, - 1$
$g (f (x)) = 5 x^{2} + 10 x + 5$
Roots are - 1 and -1

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