What is the domain of f(x)=(sin(x))/(x-4) ?

The domain of f(x)=(sin(x))/(x-4) is x 4

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domain of f(x)=(sin(x))/(x-4)

domain

f (x) = \frac{sin ( x )}{x - 4}

x < 4 or x > 4

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

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

y = \frac{4 x}{6 x ^{2} + 13 x - 5}

f (x) = x + 1 + x

g (x) = \frac{2 + x}{1 - x}

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

What is the domain of f(x)=(sin(x))/(x-4) ?
The domain of f(x)=(sin(x))/(x-4) is x<4\lor x>4