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

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

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

domain

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

x < 2 or 2 < x < 7 or x > 7

Interval Notation

(- \infty, 2) \cup (2, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = 7

The function domain

x < 2 or 2 < x < 7 or x > 7

f (x) = - 5 x + 8

\frac{x ^{2}}{6 - x}

- \frac{1}{2} + \frac{3}{2} ∣ 2 x - 3 ∣

y = lo g_{3} (x)

f (x) = ln (x^{2} - 4 x + 3)

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