What is the domain of f(x)=(-3)/(x-5) ?

The domain of f(x)=(-3)/(x-5) is x 5

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domain of f(x)=(-3)/(x-5)

domain

f (x) = \frac{- 3}{x - 5}

x < 5 or x > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

3 - 1 (x - 1)^{- 1}

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

2 x - 12

2 x - 16

f (x) = 4 x^{2} + 5

What is the domain of f(x)=(-3)/(x-5) ?
The domain of f(x)=(-3)/(x-5) is x<5\lor x>5