What is the domain of f(x)=(sqrt(4-x^2))/(x-3) ?

The domain of f(x)=(sqrt(4-x^2))/(x-3) is -2<= x<= 2

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domain of f(x)=(sqrt(4-x^2))/(x-3)

domain

- 2 \leq x \leq 2

Interval Notation

[- 2, 2]

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 2

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

- 2 \leq x \leq 2

What is the domain of f(x)=(sqrt(4-x^2))/(x-3) ?
The domain of f(x)=(sqrt(4-x^2))/(x-3) is -2<= x<= 2