What is the domain of (5x+1)/(5x-20)+(x+17)/(20-5x) ?

The domain of (5x+1)/(5x-20)+(x+17)/(20-5x) is x 4

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domain of (5x+1)/(5x-20)+(x+17)/(20-5x)

domain

\frac{5 x + 1}{5 x - 20} + \frac{x + 17}{20 - 5 x}

x < 4 or x > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

\frac{5 x}{3} + 12

f (x) = e^{x} + 4

f (x) = [x]

x^{2} - 6 x - 8

\frac{2}{3} x - 1

What is the domain of (5x+1)/(5x-20)+(x+17)/(20-5x) ?
The domain of (5x+1)/(5x-20)+(x+17)/(20-5x) is x<4\lor x>4