Question

Given the function, f(x) = square root of (x +5) - 1, choose the correct domain written using interval notation.

(-5, infinity)
(- infinity, -5)

Answer 1

hello :
f(x) = √x+5)
x+5 ≥ 0 ... x ≥ -5
domain is : [,-5 ; + ∞ [

Answer 2

The domain of the given function is [-5 ∞ )

Explanation:

Given function,

`f(x) =√(x+5) - 1`

∵ f(x) is not defined if x + 5 < 0

That is, for the given function,

x ≥ -5

x ∈ [-5 ∞ )

Since, the domain of a function is the all possible input value,

Here, x represents the input value for the given function,

Hence, the domain of the given function is [ -5 ∞ )