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

The domain of f(x)=(sqrt(x))/(x-4) is 0 4

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

domain

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

0 \leq x < 4 or x > 4

Interval Notation

[0, 4) \cup (4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

0 \leq x < 4 or x > 4

f (x) = \frac{x ^{2}}{e ^{x}}

(10.5) (5.2)

f (x) = \frac{4}{x + 8} \cdot \frac{1}{7 - x}

f (x) = - 4

y = \frac{x}{x + 8}

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