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

The domain of f(x)=(sqrt(x^2-x-2))/(ln(x)) is x>= 2

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domain of f(x)=(sqrt(x^2-x-2))/(ln(x))

domain

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

x \geq 2

Interval Notation

[2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x \geq 2

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x \geq 2

2 x - 3 y = 9

f (x) = lo g_{10} (x)

f (x) = x + 7

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

f (x) = 1 + cos^{2} (x)

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