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

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

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

domain

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

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

x^{2} - 3 x + 3

f (x) = x - 8

x^{4} - 4 x^{3} + 6

f (x) = (x + 3)

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

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