What is the domain of (3x+2)/(sqrt(x^2-7x)) ?

The domain of (3x+2)/(sqrt(x^2-7x)) is x 7

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domain of (3x+2)/(sqrt(x^2-7x))

domain

\frac{3 x + 2}{x ^{2} - 7 x}

x < 0 or x > 7

Interval Notation

(- \infty, 0) \cup (7, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 0 or x \geq 7

Find undefined (singularity) points:

x = 7, x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 7

f (y) = e^{x}

- 225 a + 850

(2, - 1), (4, - 3)

f (x) = 10 (2 x - 4)^{2} + 3

f (x) = \frac{x ^{2} - 9}{x ^{2} + 6}

What is the domain of (3x+2)/(sqrt(x^2-7x)) ?
The domain of (3x+2)/(sqrt(x^2-7x)) is x<0\lor x>7