Question

What is the domain of the function f(x) = + 5?

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

Answer:

The domain of the function is:

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

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\sqrt{x+5}$

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:

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