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

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

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

domain

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

2 \leq x < 5 or x > 5

Interval Notation

[2, 5) \cup (5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

2 \leq x < 5 or x > 5

d o main f (x) = 8 x

s im pl i f y (0.2) (2.8)

p a r i t y f (x) = 2 (x) - tan (x)

p a r i t y f (x) = \frac{( x ^{2} - 2 x - 8 )}{- 3 x ^{3} + 18 x - 24}

s l o p e in t erce pt - x - 3 y = - 12

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