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

The domain of f(x)=(sqrt(4-x^2))/(2-x) is -2<= x<2

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

domain

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

- 2 \leq x < 2

Interval Notation

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

- 2 \leq x < 2

f (x) = x^{2} - ∣ x ∣

f (x) = tan (x) cot (x) + sin (x)

4 \frac{2 x + 4}{3}

f (x) = ∣ 2 x ∣ - 2

- x^{2} + 2 x

What is the domain of f(x)=(sqrt(4-x^2))/(2-x) ?
The domain of f(x)=(sqrt(4-x^2))/(2-x) is -2<= x<2