41.1k views
2 votes
What is the domain of the function f(x) = + 5?

f(x) ≥ –9
f(x) ≥ –5
f(x) ≥ 5
f(x) ≥ 9

2 Answers

2 votes

Answer:

c

Explanation:

User Rebel
by
9.1k points
5 votes

Answer:

The domain of the function is:


\mathrm{Domain\:of\:}\:√(x+5)\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-5\:\\ \:\mathrm{Interval\:Notation:}&\:[-5,\:\infty \:)\end{bmatrix}

Explanation:

Given the function


f\left(x\right)\:=√(x+5)

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

From the function, it is clear that for the values x<-5, the function becomes undefined.

For example, for x=-6

√x+5 = √-6+5 = √-1 which is undefined

and for x=-5

√x+5 = √5+5 = √0 which is defined

Thus, the domain of the function is:


\mathrm{Domain\:of\:}\:√(x+5)\::\quad \begin{bmatrix}\mathrm{Solution:}\:&amp;\:x\ge \:-5\:\\ \:\mathrm{Interval\:Notation:}&amp;\:[-5,\:\infty \:)\end{bmatrix}

User Ruggs
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories