What is the domain of f(x)=(3x-8)/(x-5) ?

The domain of f(x)=(3x-8)/(x-5) is x 5

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domain of f(x)=(3x-8)/(x-5)

domain

f (x) = \frac{3 x - 8}{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 + 4

\frac{1}{3 x ^{7}}

y = \frac{3 ln ^{2} ( x )}{x}

f (x) = (x - 2) (x^{2} + 3 x)

What is the domain of f(x)=(3x-8)/(x-5) ?
The domain of f(x)=(3x-8)/(x-5) is x<5\lor x>5