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

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

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

domain

f (x) = \frac{3}{\frac{3}{x} - 5}

x < 0 or 0 < x < \frac{3}{5} or x > \frac{3}{5}

Interval Notation

(- \infty, 0) \cup (0, \frac{3}{5}) \cup (\frac{3}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{5}, x = 0

The function domain

x < 0 or 0 < x < \frac{3}{5} or x > \frac{3}{5}

f (x) = \frac{1}{x ^{2} + 4 x - 12}

- 5 x - 2 y = - 5

\frac{2 + x}{3 x - 1}

f (x) = - 4 x^{2} + 6 x - 7

f (x) = y - 6 = (x + 2)^{2}

What is the domain of f(x)= 3/(3/x-5) ?
The domain of f(x)= 3/(3/x-5) is x<0\lor 0<x< 3/5 \lor x> 3/5