What is the domain of f(x)=(sqrt(x-5))/(3x^2-12) ?

The domain of f(x)=(sqrt(x-5))/(3x^2-12) is x>= 5

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domain of f(x)=(sqrt(x-5))/(3x^2-12)

domain

f (x) = \frac{x - 5}{3 x ^{2} - 12}

x \geq 5

Interval Notation

[5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

x \geq 5

x - ln (x)

\frac{2}{∣ x - 2 ∣}

f (x) = 1 - 4 cos (x)

f (x) = 3 x^{2} + 15 x + 18

- 3 tan (3 x + π)

What is the domain of f(x)=(sqrt(x-5))/(3x^2-12) ?
The domain of f(x)=(sqrt(x-5))/(3x^2-12) is x>= 5