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

The domain of f(x)=sqrt(x-|2x-3|) is 1<= x<= 3

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

domain

f (x) = x - ∣ 2 x - 3 ∣

1 \leq x \leq 3

Interval Notation

[1, 3]

Solution steps

Find non-negative values for radicals:

1 \leq x \leq 3

The function domain

1 \leq x \leq 3

y = - \frac{3}{x - 1} + 1

300 x - x^{2}

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

x + e^{x}

What is the domain of f(x)=sqrt(x-|2x-3|) ?
The domain of f(x)=sqrt(x-|2x-3|) is 1<= x<= 3