What is the domain of f(x)=2-sqrt(15+2x-x^2) ?

The domain of f(x)=2-sqrt(15+2x-x^2) is -3<= x<= 5

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domain of f(x)=2-sqrt(15+2x-x^2)

domain

f (x) = 2 - 15 + 2 x - x^{2}

- 3 \leq x \leq 5

Interval Notation

[- 3, 5]

Solution steps

Find non-negative values for radicals:

- 3 \leq x \leq 5

The function domain

- 3 \leq x \leq 5

f (x) = arcsin (sin (x))

f (x) = 3 (3)^{x - 1}

f (x) = e^{a r c s i n (x)}

f (x) = - ∣ x + 3 ∣

lo g_{4} (2 - x)

What is the domain of f(x)=2-sqrt(15+2x-x^2) ?
The domain of f(x)=2-sqrt(15+2x-x^2) is -3<= x<= 5