What is the domain of f(x)=sqrt(25-(x+2)^2) ?

The domain of f(x)=sqrt(25-(x+2)^2) is -7<= x<= 3

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domain of f(x)=sqrt(25-(x+2)^2)

domain

f (x) = 25 - (x + 2)^{2}

- 7 \leq x \leq 3

Interval Notation

[- 7, 3]

Solution steps

Find non-negative values for radicals:

- 7 \leq x \leq 3

The function domain

- 7 \leq x \leq 3

f (x) = \frac{15}{x - 3}

y = - \frac{2}{3} x + 7

f (x) = - \frac{12}{x}

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

5^{x^{2} - 4 x - 2}

What is the domain of f(x)=sqrt(25-(x+2)^2) ?
The domain of f(x)=sqrt(25-(x+2)^2) is -7<= x<= 3