What is the domain of f(x)=(7x)/(x(x^2-16)) ?

The domain of f(x)=(7x)/(x(x^2-16)) is x 4

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domain of f(x)=(7x)/(x(x^2-16))

domain

f (x) = \frac{7 x}{x ( x ^{2} - 16 )}

x < - 4 or - 4 < x < 0 or 0 < x < 4 or x > 4

Solution steps

Find undefined (singularity) points:

x = 0, x = - 4, x = 4

The function domain

x < - 4 or - 4 < x < 0 or 0 < x < 4 or x > 4

f (x) = 3 (2)^{x + 1} - 2

f (x) = \frac{4 - x ^{2}}{5 - 3 x - 2 x ^{2}}

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

(0.0183, 0.1221), (0.293, 2.059)

6 x - 7 y = 35

What is the domain of f(x)=(7x)/(x(x^2-16)) ?
The domain of f(x)=(7x)/(x(x^2-16)) is x<-4\lor-4<x<0\lor 0<x<4\lor x>4