What is the domain of (x+4)/(sqrt(x^2-5x+6)) ?

The domain of (x+4)/(sqrt(x^2-5x+6)) is x 3

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domain of (x+4)/(sqrt(x^2-5x+6))

domain

\frac{x + 4}{x ^{2} - 5 x + 6}

x < 2 or x > 3

Interval Notation

(- \infty, 2) \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 2 or x \geq 3

Find undefined (singularity) points:

x = 3, x = 2

Combine real regions and undefined points for final function domain

x < 2 or x > 3

- 6 (x + 1) - 3

y = - 3 lo g_{4} (5 - x)

f (x) = x - 2 - lo g_{5} (10 - x)

\frac{x + 7}{x - 6}

\frac{x ^{2} + 1}{x ^{2} - 3 x + 4}

What is the domain of (x+4)/(sqrt(x^2-5x+6)) ?
The domain of (x+4)/(sqrt(x^2-5x+6)) is x<2\lor x>3