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

The domain of f(x)=sqrt(-x^2+2x+3) is -1<= x<= 3

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

domain

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

- 1 \leq x \leq 3

Interval Notation

[- 1, 3]

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 3

The function domain

- 1 \leq x \leq 3

\frac{x ^{2} - 81}{4 x - 12}

f (x) = \frac{3}{x - 1}

- (x + 1)^{2} + 1

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

y = \frac{x - 2}{1 - x ^{2}}

What is the domain of f(x)=sqrt(-x^2+2x+3) ?
The domain of f(x)=sqrt(-x^2+2x+3) is -1<= x<= 3