If x - R- then x2-x-1-x2-x-1 takes values in the interval 1-3- 3S- -1-3- 3-C- 0-3D- None of these

The correct option is B Let x^2 x+1/x^2 + x+1 Discriminate ≥ 0 ⇒ (1+m)^2 4(1 m)^2 ≥ 0 ⇒ (m 3) ( m 1/3 ) ≤ 0 ⇒ m ϵ [ 1/3,3 ] ...

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Roots of a Quadratic Equation

If x ∈ R, the...

Question

If $x ϵ R$ , then $\frac{x^{2} - x + 1}{x^{2} + x + 1}$ takes values in the interval

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If x is real and k = $\frac{x^{2} - x + 1}{x^{2} + x + 1}$ , then

k = \frac{x^{2} - x + 1}{x^{2} + x + 1}

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

x

\frac{x^{2} - x + 1}{x^{2} + x + 1}

L e t f : [- \frac{1}{3}, 3] \to R a n d g : [- \frac{1}{3}, 3] \to R d e f i n e d b y f (x) = [x^{2} - 4] a n d g (x) = | x - 2 | f (x) + | 3 x - 5 | f (x)

[x]

x

x \in R,

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