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If fx = 5x ...

Question

If $f (x) = 5 x - x^{2}$ , then $f (x) = 6$ at $x =$

1

only

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2

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1

5

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2

3

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2

6

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Solution

The correct option is D $2$ or $3$
Given that $f (x) = 5 x - x^{2}$
Also given, $f (x) = 6$
Equating both equations, we get
$5 x - x^{2} = 6$
$\Rightarrow x^{2} - 5 x + 6 = 0$
$\Rightarrow (x - 2) (x - 3) = 0$
$\Rightarrow x = 2$ or $3$

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Similar questions

f (x) = \frac{x^{2} - 6 x + 5}{x^{2} - 5 x + 6}

f (x) = \frac{x^{2} - 5 x + 6}{x - 2}, x \neq 2

f (3)

x^{2} + 6 = 5 x

x = 3

x = 2

f (x) = {\begin{matrix} 2 - | x^{2} + 5 x + 6 |, x \neq - 2 a^{2} + 1, x = - 2 \end{matrix}

a

f (x)

x = - 2

f (x) = 5 x - 1

f (- 3) + f (3)

- 2

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