What is the domain of f(x)=sqrt(27-3x^2) ?

The domain of f(x)=sqrt(27-3x^2) is -3<= x<= 3

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domain of f(x)=sqrt(27-3x^2)

domain

f (x) = 27 - 3 x^{2}

- 3 \leq x \leq 3

Interval Notation

[- 3, 3]

Solution steps

Find non-negative values for radicals:

- 3 \leq x \leq 3

The function domain

- 3 \leq x \leq 3

f (x) = \frac{2 x ^{2} + 6 x + 5}{x ^{2} + 3 x + 2}

\frac{2 x + 5}{3 x ^{2} - 10 x - 8}

f (x) = \frac{1 - x}{x ^{2} - 5 x + 4}

f (x) = \frac{4 x - 9}{x ^{2} - 4}

f (x) = - 2 (x + 2) (x - 3) (x - 1)

What is the domain of f(x)=sqrt(27-3x^2) ?
The domain of f(x)=sqrt(27-3x^2) is -3<= x<= 3