Range of √(x^3 3x+2) #160; #160; #160; #160; #160; #160; #160; #160; =√(x^2 2x x+2) #160; #160; #160; #160; #160 ...

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Definition of Functions

Range of y=...

Question

Range of $y = \sqrt{x^{2} - 3 x + 2}$

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Solution

Range of $\sqrt{x^{3} - 3 x + 2}$
$= \sqrt{x^{2} - 2 x - x + 2}$
$y = \sqrt{(x - 2) (x - 1)}$
Since square root of $+ v e$ quantity is also $+ v e$
$∴ y \geq 0 (y [0, \infty)$ : range.

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Similar questions

Find the range of $x$ for the following expression:

$∣ ∣ \frac{x^{2} - 3 x + 2}{x^{2} + 3 x + 2} ∣ ∣ \geq 1$

y = x^{2} + 3 x + 2

y = - x^{2} + 3 x + 3

f (x) = \frac{R (x)}{(x^{2} - 3 x + 2)}

f (x) = \frac{x^{2} - 3 x + 4}{x^{2} + 3 x + 4}

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