What is the domain of f(x)=(x+10)/(x^2+11x-12) ?

The domain of f(x)=(x+10)/(x^2+11x-12) is x 1

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domain of f(x)=(x+10)/(x^2+11x-12)

domain

f (x) = \frac{x + 10}{x ^{2} + 11 x - 12}

x < - 12 or - 12 < x < 1 or x > 1

Interval Notation

(- \infty, - 12) \cup (- 12, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 12

The function domain

x < - 12 or - 12 < x < 1 or x > 1

f (x) = x + 5

5 x - 3

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

0.5 (x + 2) (x - 4)

y = x^{2} + 6 x + 11

What is the domain of f(x)=(x+10)/(x^2+11x-12) ?
The domain of f(x)=(x+10)/(x^2+11x-12) is x<-12\lor-12<x<1\lor x>1