What is the domain of f(x)=3x^2-4-sqrt(5x-2) ?

The domain of f(x)=3x^2-4-sqrt(5x-2) is x>= 2/5

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domain of f(x)=3x^2-4-sqrt(5x-2)

domain

f (x) = 3 x^{2} - 4 - 5 x - 2

x \geq \frac{2}{5}

Interval Notation

[\frac{2}{5}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{2}{5}

The function domain

x \geq \frac{2}{5}

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

f (x) = x + x - 18

\frac{x - 1}{25 - x ^{2}}

f (x) = \frac{x ^{2} - 3 x - 28}{x + 4}

What is the domain of f(x)=3x^2-4-sqrt(5x-2) ?
The domain of f(x)=3x^2-4-sqrt(5x-2) is x>= 2/5