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

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

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

domain

f (x) = \frac{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

y = - 4 x^{2}

f (x) = x^{2} - x + 1

f (x) = \frac{2 x ^{3} + 2}{x ^{2} + 5 x + 11}

f (x) = \frac{9 x}{x + 1}

f (x) = 5 x + 1

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