What is the domain of f(x)=(x+7)/((x-3)(x-2)) ?

The domain of f(x)=(x+7)/((x-3)(x-2)) is x 3

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domain of f(x)=(x+7)/((x-3)(x-2))

domain

f (x) = \frac{x + 7}{( x - 3 ) ( x - 2 )}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3, x = 2

The function domain

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

x 4 - x

x^{4} - 2 x^{3} + x^{2}

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

x^{2}

x^{2} - 3 x - 10

What is the domain of f(x)=(x+7)/((x-3)(x-2)) ?
The domain of f(x)=(x+7)/((x-3)(x-2)) is x<2\lor 2<x<3\lor x>3