What is the domain of f(x)=((x-4)sqrt(x+2))/(x^2) ?

The domain of f(x)=((x-4)sqrt(x+2))/(x^2) is -2 0

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domain of f(x)=((x-4)sqrt(x+2))/(x^2)

domain

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

- 2 \leq x < 0 or x > 0

Interval Notation

[- 2, 0) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 2 \leq x < 0 or x > 0

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

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

2 x^{2} + 3

f (x) = x e^{x}

2 x + 3 y = 5, (8, 8)

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