What is the domain of f(x)=(ln(x+3))/(x^2-16) ?

The domain of f(x)=(ln(x+3))/(x^2-16) is -3 4

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domain of f(x)=(ln(x+3))/(x^2-16)

domain

f (x) = \frac{ln ( x + 3 )}{x ^{2} - 16}

- 3 < x < 4 or x > 4

Interval Notation

(- 3, 4) \cup (4, \infty)

Solution steps

Find positive values for logs:

x > - 3

Find undefined (singularity) points:

x = 4, x = - 4

Combine real regions and undefined points for final function domain

- 3 < x < 4 or x > 4

f (x) = \frac{3}{x ^{2} - 8 x + 15}

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

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

f (x) = x + 4 x + 2

f (x) = 4 cos (x)

What is the domain of f(x)=(ln(x+3))/(x^2-16) ?
The domain of f(x)=(ln(x+3))/(x^2-16) is -3<x<4\lor x>4