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

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

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domain of f(x)=-sqrt(25-(x+2)^2),x<= 3

domain

f (x) = - 25 - (x + 2)^{2}, x \leq 3

- 7 \leq x \leq 3

Interval Notation

[- 7, 3]

Solution steps

Set the domain to the given interval

x \leq 3

Find non-negative values for radicals:

- 7 \leq x \leq 3

Join real regions with the domain:

- 7 \leq x \leq 3 and x \leq 3

- 7 \leq x \leq 3

(x + 8)^{3}

g (x) = \frac{x + 5}{x ^{2} - 9}

ln (2 - y^{2})

y = \frac{4 x + 60}{ln ( 5 x - 40 )}

∣ x ∣ - x

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