What is the domain of f(x)=(2x+7)/(x^2+x-6) ?

The domain of f(x)=(2x+7)/(x^2+x-6) is x 2

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domain of f(x)=(2x+7)/(x^2+x-6)

domain

f (x) = \frac{2 x + 7}{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

f (x) = \frac{3 x + 2}{( x + 6 ) ( x - 9 )}

f (x) = 16 - x^{2} + 3 - x

f (x) = \frac{x ^{2} - 3 x - 4}{- x + 5}

\frac{x}{x + 1}

y = \frac{1}{9 - x ^{2}}

What is the domain of f(x)=(2x+7)/(x^2+x-6) ?
The domain of f(x)=(2x+7)/(x^2+x-6) is x<-3\lor-3<x<2\lor x>2