Consider the function fx- x2-x-1x2-x-1Find the maximum value of the function-

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Sum of N Terms of an AP

Consider the ...

Question

Consider the function $f (x) = \frac{x^{2} - x + 1}{x^{2} + x + 1}$

Find the maximum value of the function.

\frac{1}{2}

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\frac{1}{3}

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2

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3

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f (x) = \frac{x^{2} - 1}{x^{2} + 1}

x ϵ R

x

f (x)

f (x)

f (x) = ⎧ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{x^{2} - 1}{x^{2} - 2 | x - 1 | - 1}, & x \neq 1 \frac{1}{2}, & x = 1 \end{matrix}

x = 1

f (x)

[- 2, 2]

(a + b)

f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{sin a x}{x} - 2, f o r - 2 \leq x < 0 2 x + 1, f o r 0 \leq x \leq 1 2 b \sqrt{x^{2} + 3} - 1, f o r 1 < x \leq 2 \end{matrix}

f (x) = \sqrt{2 - 2 x - x^{2}}

x

f (x) = log (\frac{x^{2} - 5 x + 6}{x^{2} + x + 1}) + \sqrt{\frac{1}{[x^{2} - 1]}}

[.]

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