What is the domain of f(x)=(x-3)/(x^2-4)ln(x) ?

The domain of f(x)=(x-3)/(x^2-4)ln(x) is 0 2

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domain of f(x)=(x-3)/(x^2-4)ln(x)

domain

f (x) = \frac{x - 3}{x ^{2} - 4} ln (x)

0 < x < 2 or x > 2

Interval Notation

(0, 2) \cup (2, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

0 < x < 2 or x > 2

- \frac{6}{x ^{2}}

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

f (x) = tan (\frac{1}{2} x)

\frac{x ^{2} - 2 x - 48}{x - 1}

f (x) = 3 x^{2} + 13 x + 14

What is the domain of f(x)=(x-3)/(x^2-4)ln(x) ?
The domain of f(x)=(x-3)/(x^2-4)ln(x) is 0<x<2\lor x>2