What is the domain of f(x)=(2x+5)/(x-4) ?

The domain of f(x)=(2x+5)/(x-4) is x 4

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domain of f(x)=(2x+5)/(x-4)

domain

f (x) = \frac{2 x + 5}{x - 4}

x < 4 or x > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

f (x) = \frac{4}{x} - 5

3 x - 5 x - 8

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

f (x) = \frac{x}{ln ( x - 1 )}

2 x^{2} + 7 x + 3

What is the domain of f(x)=(2x+5)/(x-4) ?
The domain of f(x)=(2x+5)/(x-4) is x<4\lor x>4