What is the domain of f(x)=(4x^2-5)/(2x^3+x) ?

The domain of f(x)=(4x^2-5)/(2x^3+x) is x 0

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domain of f(x)=(4x^2-5)/(2x^3+x)

domain

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

x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (x) = - 7 x + 7

sin (3 x)

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

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

y = tan (x^{2})

What is the domain of f(x)=(4x^2-5)/(2x^3+x) ?
The domain of f(x)=(4x^2-5)/(2x^3+x) is x<0\lor x>0