What is the domain of (x-4)/(-3x+15) ?

The domain of (x-4)/(-3x+15) is x 5

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domain of (x-4)/(-3x+15)

domain

\frac{x - 4}{- 3 x + 15}

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) = 2 x^{2} + 12 x + 5

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

f (x) = - 2 x^{2} + 5 x - 3

- x^{2} - 1

What is the domain of (x-4)/(-3x+15) ?
The domain of (x-4)/(-3x+15) is x<5\lor x>5