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

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

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

domain

f (x) = \frac{5 x - 2}{x - 4}

\frac{2}{5} \leq x < 4 or x > 4

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq \frac{2}{5}

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

\frac{2}{5} \leq x < 4 or x > 4

2 x^{3} + 3 x^{2} - 12 x - 18

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

f (x) = - \frac{3}{2} x^{2} + 44.5 x

4 x^{2} - 4 x

f (x) = 36 - 12 x

What is the domain of f(x)=(sqrt(5x-2))/(x-4) ?
The domain of f(x)=(sqrt(5x-2))/(x-4) is 2/5 <= x<4\lor x>4