What is the domain of f(x)=(x+6)/(x^2-2x-48) ?

The domain of f(x)=(x+6)/(x^2-2x-48) is x 8

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domain of f(x)=(x+6)/(x^2-2x-48)

domain

f (x) = \frac{x + 6}{x ^{2} - 2 x - 48}

x < - 6 or - 6 < x < 8 or x > 8

Interval Notation

(- \infty, - 6) \cup (- 6, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = - 6

The function domain

x < - 6 or - 6 < x < 8 or x > 8

f (x) = 800 - 2 (300) - y

f (x) = \frac{x + 4}{x - 10}

- 15 x^{2} + 350 x - 2000

f (x) = 1 - sec (2 x) \cdot csc (2 x)

What is the domain of f(x)=(x+6)/(x^2-2x-48) ?
The domain of f(x)=(x+6)/(x^2-2x-48) is x<-6\lor-6<x<8\lor x>8