What is the domain of f(x)=(2x-1)/(x-7) ?

The domain of f(x)=(2x-1)/(x-7) is x 7

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domain of f(x)=(2x-1)/(x-7)

domain

f (x) = \frac{2 x - 1}{x - 7}

x < 7 or x > 7

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 7

The function domain

x < 7 or x > 7

in f l ec t i o n f (x) = \frac{2 x ^{2}}{x ^{2} - 9}

r an g e f (x) = \frac{x ^{2} - 1}{x + 1}

e x t re m e f (x) = x^{3} + 3 x^{2}

cr i t i c a l x^{3} + 3 x^{2} + 3 x + 2

in v erse y = 3 x + 5

What is the domain of f(x)=(2x-1)/(x-7) ?
The domain of f(x)=(2x-1)/(x-7) is x<7\lor x>7