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

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

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

domain

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

x < 8 or x > 8

Interval Notation

(- \infty, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8

The function domain

x < 8 or x > 8

\frac{x}{8 x - 5}

3 x - 12

3 x - 17

f (x) = lo g_{x} (x)

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

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