What is the domain of f(x)=(10-3x-x^2)/(|x-2|) ?

The domain of f(x)=(10-3x-x^2)/(|x-2|) is x 2

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domain of f(x)=(10-3x-x^2)/(|x-2|)

domain

f (x) = \frac{10 - 3 x - x ^{2}}{∣ x - 2 ∣}

x < 2 or x > 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

f (x) = - 36, 0 \leq x \leq 360

x^{2} - 4 + x^{2} + 5 x + 6

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

f (t) = 4 - t^{2}

What is the domain of f(x)=(10-3x-x^2)/(|x-2|) ?
The domain of f(x)=(10-3x-x^2)/(|x-2|) is x<2\lor x>2