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

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

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

domain

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

f (x) = x^{2} - x - 12

y = \frac{2 x + 5}{9 x - 8}

y = \frac{x ^{4} - 16}{x ^{2} - 49}

y = x^{2} - 2

x e^{a x}

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