What is the domain of f(x)=(10x+40)/(x-5) ?

The domain of f(x)=(10x+40)/(x-5) is x 5

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domain of f(x)=(10x+40)/(x-5)

domain

f (x) = \frac{10 x + 40}{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) = sin (\frac{x}{2})

y = - \frac{3}{4} x + 2

y = sin (x)

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

f (x) = - 2 (x - 2)^{2} + 7

What is the domain of f(x)=(10x+40)/(x-5) ?
The domain of f(x)=(10x+40)/(x-5) is x<5\lor x>5