What is the domain of f(x)=(x-5)/(x-2) ?

The domain of f(x)=(x-5)/(x-2) is x 2

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domain of f(x)=(x-5)/(x-2)

domain

f (x) = \frac{x - 5}{x - 2}

x < 2 or x > 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

f (x) = 4^{x - 1}

f (x) = - \frac{2 ( x ^{2} - 1 )}{x ^{2} - 4}

f (x) = x^{2} + 4 x - 1, x \geq - 2 - 5

f (x) = \frac{x}{e ^{x}}

f (x) = 2^{x} - 6

What is the domain of f(x)=(x-5)/(x-2) ?
The domain of f(x)=(x-5)/(x-2) is x<2\lor x>2