What is the domain of f(x)=(4-x^2)/(x^2+x-6) ?

The domain of f(x)=(4-x^2)/(x^2+x-6) is x 2

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domain of f(x)=(4-x^2)/(x^2+x-6)

domain

f (x) = \frac{4 - x ^{2}}{x ^{2} + x - 6}

x < - 3 or - 3 < x < 2 or x > 2

Interval Notation

(- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 3

The function domain

x < - 3 or - 3 < x < 2 or x > 2

\frac{100 + 440 x}{10 + 0.01 x}

3 x + 4 y = 7

y = - 2 x + 5

1 - \frac{2}{x ^{3}}

f (x) = lo g_{3} (3 x + 4)

What is the domain of f(x)=(4-x^2)/(x^2+x-6) ?
The domain of f(x)=(4-x^2)/(x^2+x-6) is x<-3\lor-3<x<2\lor x>2