What is the domain of f(x)=(x-1)/((x+3)(x-2)) ?

The domain of f(x)=(x-1)/((x+3)(x-2)) is x 2

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domain of f(x)=(x-1)/((x+3)(x-2))

domain

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

x < - 3 or - 3 < x < 2 or x > 2

Interval Notation

(- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3, x = 2

The function domain

x < - 3 or - 3 < x < 2 or x > 2

f (x) = 1 0^{(x - 2)} - 5

(x - 8) 2 x^{2}

f (x) = \frac{10 x ^{2}}{2 x ^{2} + 1}

f (x) = 8

f (x) = 4 x + 5 y = 20

What is the domain of f(x)=(x-1)/((x+3)(x-2)) ?
The domain of f(x)=(x-1)/((x+3)(x-2)) is x<-3\lor-3<x<2\lor x>2