What is the domain of f(x)=(sqrt(5x))/(7x-8) ?

The domain of f(x)=(sqrt(5x))/(7x-8) is 0 8/7

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domain of f(x)=(sqrt(5x))/(7x-8)

domain

f (x) = \frac{5 x}{7 x - 8}

0 \leq x < \frac{8}{7} or x > \frac{8}{7}

Interval Notation

[0, \frac{8}{7}) \cup (\frac{8}{7}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = \frac{8}{7}

Combine real regions and undefined points for final function domain

0 \leq x < \frac{8}{7} or x > \frac{8}{7}

f (x) = \frac{2 x ^{2} - 3 x - 20}{x - 5}

(8594, 8424), (4257, 1278)

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

(- 5, - 2), (2, 3)

- 5 x + 4 y - 53 = 0

What is the domain of f(x)=(sqrt(5x))/(7x-8) ?
The domain of f(x)=(sqrt(5x))/(7x-8) is 0<= x< 8/7 \lor x> 8/7