What is the domain of f(x)=(x+4)/(x-5) ?

The domain of f(x)=(x+4)/(x-5) is x 5

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domain of f(x)=(x+4)/(x-5)

domain

f (x) = \frac{x + 4}{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

y = \frac{5}{4 x - 8}

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

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

cos (2 x)

What is the domain of f(x)=(x+4)/(x-5) ?
The domain of f(x)=(x+4)/(x-5) is x<5\lor x>5