What is the domain of f(x)=sqrt(2x-1)+sqrt(x) ?

The domain of f(x)=sqrt(2x-1)+sqrt(x) is x>= 1/2

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domain of f(x)=sqrt(2x-1)+sqrt(x)

domain

f (x) = 2 x - 1 + x

x \geq \frac{1}{2}

Interval Notation

[\frac{1}{2}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{1}{2}

The function domain

x \geq \frac{1}{2}

f (x) = \frac{x ^{2} - x - 2}{x ^{4} - 81}

f (x) = - 84 x - 2

4 x - \frac{4}{3}

sin (3 x - \frac{π}{4})

f (x) = f (x) = 7 + ln (3 x + 1)

What is the domain of f(x)=sqrt(2x-1)+sqrt(x) ?
The domain of f(x)=sqrt(2x-1)+sqrt(x) is x>= 1/2