What is the domain of f(x)=(5x)/(x-1) ?

The domain of f(x)=(5x)/(x-1) is x 1

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domain of f(x)=(5x)/(x-1)

domain

f (x) = \frac{5 x}{x - 1}

x < 1 or x > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

f (x) = 1 + 6 + 8 x

f (x) = \frac{5 x}{x - 8}

\frac{x - 4}{- 4 x - 16}

f (x) = 2 ln (x)

f (x) = x + 2 + 2 - x

What is the domain of f(x)=(5x)/(x-1) ?
The domain of f(x)=(5x)/(x-1) is x<1\lor x>1