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

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

f (x) = 2 sin (\frac{π}{3} x)

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

\frac{1}{( x - 5 ) ^{2}}

f (x) = x^{5} - 3 x^{3} + 5 x

- 1

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