Question

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

f(x) ≥ –9
f(x) ≥ –5
f(x) ≥ 5
f(x) ≥ 9

Answer 1

c

Explanation:

Answer 2

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:}\:&\:x\ge \:-5\:\\ \:\mathrm{Interval\:Notation:}&\:[-5,\:\infty \:)\end{bmatrix}`