What is the domain of f(x)=(sqrt(1-x^2))/(x-2) ?

The domain of f(x)=(sqrt(1-x^2))/(x-2) is -1<= x<= 1

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domain of f(x)=(sqrt(1-x^2))/(x-2)

domain

f (x) = \frac{1 - x ^{2}}{x - 2}

- 1 \leq x \leq 1

Interval Notation

[- 1, 1]

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 1

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

- 1 \leq x \leq 1

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

3 + ln (x)

y = x^{2} - 4 x + 6

\frac{3 x - 7}{5 x + 6}

y + 3 = 2 x + 5

What is the domain of f(x)=(sqrt(1-x^2))/(x-2) ?
The domain of f(x)=(sqrt(1-x^2))/(x-2) is -1<= x<= 1