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

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

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

domain

f (x) = \frac{4 x}{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) = 4 x^{2} - 8 x - 1

10 x - 9

(1, 2), (4, 4)

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

x^{4} - 12 x^{3} + 48 x^{2} - 64 x

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