What is the domain of (4x-20)/(x^2-2x-15) ?

The domain of (4x-20)/(x^2-2x-15) is x 5

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domain of (4x-20)/(x^2-2x-15)

domain

\frac{4 x - 20}{x ^{2} - 2 x - 15}

x < - 3 or - 3 < x < 5 or x > 5

Interval Notation

(- \infty, - 3) \cup (- 3, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 3

The function domain

x < - 3 or - 3 < x < 5 or x > 5

\frac{( x - 8 )}{( x - 1 ) ( x + 2 )}

2 x^{3} - 7 x^{2} + 2 x + 3

f (x) = 2 x - 4 + 8

x^{2} + 2 x - 8

f (x) = 2 x^{7} - 9

What is the domain of (4x-20)/(x^2-2x-15) ?
The domain of (4x-20)/(x^2-2x-15) is x<-3\lor-3<x<5\lor x>5