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) = 5 2 x - 1

f (x) = 130 x^{2} - 4 x^{3}

sin (x^{3})

f (x) = \frac{x ^{2} + 4}{x ^{2} - 2 x - 8}

f (x) = - 0.5 sec (\frac{π}{2} x + \frac{π}{3})

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