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

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

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

domain

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

- 4 < x \leq 0 or x > 4

Interval Notation

Solution steps

Find non-negative values for radicals:

- 4 < x \leq 0 or x > 4

Find undefined (singularity) points:

x = 4, x = - 4

Combine real regions and undefined points for final function domain

- 4 < x \leq 0 or x > 4

f (x) = \frac{6}{x - 1} - \frac{5}{x - 2} + 2

y = - x^{3}

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

f (x) = 6 x^{4} + 7 x^{2} - 8 x + 9

f (x) = lo g_{2} (\frac{3 x - 1}{x - 1} + 1)

What is the domain of f(x)=sqrt((3x)/(x^2-16)) ?
The domain of f(x)=sqrt((3x)/(x^2-16)) is -4<x<= 0\lor x>4