What is the domain of sqrt(7x-21)+x/(x-8) ?

The domain of sqrt(7x-21)+x/(x-8) is 3 8

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domain of sqrt(7x-21)+x/(x-8)

domain

7 x - 21 + \frac{x}{x - 8}

3 \leq x < 8 or x > 8

Interval Notation

[3, 8) \cup (8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

3 \leq x < 8 or x > 8

f (x) = \frac{ln ( x )}{2 x}

f (x) = x^{2} + 1 x - 3

3 x

f (x) = cos (\frac{1}{x})

- 4 x + 5

What is the domain of sqrt(7x-21)+x/(x-8) ?
The domain of sqrt(7x-21)+x/(x-8) is 3<= x<8\lor x>8