What is the domain of f(x)=(x+9)/(x^2-x-42) ?

The domain of f(x)=(x+9)/(x^2-x-42) is x 7

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domain of f(x)=(x+9)/(x^2-x-42)

domain

f (x) = \frac{x + 9}{x ^{2} - x - 42}

x < - 6 or - 6 < x < 7 or x > 7

Interval Notation

(- \infty, - 6) \cup (- 6, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 6

The function domain

x < - 6 or - 6 < x < 7 or x > 7

f (x) = \frac{x ^{2} + 2 x - 3}{x ^{3} - 4 x}

f (x) = \frac{t}{9 - t ^{2}}

f (x) = x - x + 8

x^{3} + 2 x

6.75 4 + 12

What is the domain of f(x)=(x+9)/(x^2-x-42) ?
The domain of f(x)=(x+9)/(x^2-x-42) is x<-6\lor-6<x<7\lor x>7