What is the domain of f(x)=((12-x-x^2))/((x-3)) ?

The domain of f(x)=((12-x-x^2))/((x-3)) is x 3

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domain of f(x)=((12-x-x^2))/((x-3))

domain

f (x) = \frac{( 12 - x - x ^{2} )}{( x - 3 )}

x < 3 or x > 3

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

7 x^{2} + 14 x

2 x^{2}

f (x) = \frac{x ^{2} - 2 x - 8}{x ^{2} - 9}

f (x) = \frac{x}{x - 2}

f (x) = x^{2} - 6 x + 7

What is the domain of f(x)=((12-x-x^2))/((x-3)) ?
The domain of f(x)=((12-x-x^2))/((x-3)) is x<3\lor x>3