What is the domain of |3-2x|-sqrt(x^2-3x+2) ?

The domain of |3-2x|-sqrt(x^2-3x+2) is x = 2

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domain of |3-2x|-sqrt(x^2-3x+2)

domain

∣ 3 - 2 x ∣ - x^{2} - 3 x + 2

x \leq 1 or x \geq 2

Interval Notation

(- \infty, 1] \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 1 or x \geq 2

The function domain

x \leq 1 or x \geq 2

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

y = \frac{3 x + 4}{- 2 x + 6}

\frac{x ^{2} - 3 x + 2}{x ^{2} - 4}

f (x) = x^{2} + x

f (x) = \frac{2 x ^{2} - 6 x}{x ^{2} - 2 x - 3}

What is the domain of |3-2x|-sqrt(x^2-3x+2) ?
The domain of |3-2x|-sqrt(x^2-3x+2) is x<= 1\lor x>= 2