Question

F(x)=√5+x Знайти область визначення функції

Answer 1

Функція існує, коли підкореневий вираз невід'ємний.

5 + x ≥0

x ≥ -5

D(y) = [-5; +∞). - область визначення функції.

Answer 2

To find the domain of the function F(x) = √(5 + x), we need to determine all the values of x for which the function is defined. The domain of a function is the set of all possible input values that yield a valid output.

In this case, since we have a square root function, the expression inside the square root (√) must be non-negative. This means that 5 + x ≥ 0.

Solving for x: 5 + x ≥ 0 x ≥ -5

So, the domain of the function F(x) = √(5 + x) is all real numbers greater than or equal to -5.

In interval notation, the domain can be represented as: (-5, ∞)