What is the domain of f(x)=sqrt(|3x-5|-2x+2) ?

The domain of f(x)=sqrt(|3x-5|-2x+2) is x = 3

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domain of f(x)=sqrt(|3x-5|-2x+2)

domain

f (x) = ∣ 3 x - 5 ∣ - 2 x + 2

x \leq \frac{7}{5} or x \geq 3

Interval Notation

(- \infty, \frac{7}{5}] \cup [3, \infty)

Solution steps

Find non-negative values for radicals:

x \leq \frac{7}{5} or x \geq 3

The function domain

x \leq \frac{7}{5} or x \geq 3

ln (x) + 3

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

\frac{x - 1}{x}

y = lo g_{10} (3 x - 4)

What is the domain of f(x)=sqrt(|3x-5|-2x+2) ?
The domain of f(x)=sqrt(|3x-5|-2x+2) is x<= 7/5 \lor x>= 3