Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given function,

$f(x) =\sqrt{x+5} - 1$

∵ 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 ∞ )

Answer 2

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