What is the domain of the function f(x)= sq rt 1/3x+2

Domain of f(x) is { x : x ∈ R and x > -6 }

Step-by-step explanation:

Given function is,

We need to find Domain of the function.

The domain of a function is the complete set of possible values of the independent variable.

Domain of f(x) is set of real number excluding point where value under square root becomes negative.

So, to find that point

put ,

x + 6 > 0

x > -6

So, Value of x must be greater than -6

⇒ Domain of f(x) = { x : x ∈ R and x > -6 }

Therefore, Domain of f(x) is { x : x ∈ R and x > -6 }

Step-by-step explanation:

Solving the function under square root, we get :

x belongs to (-2 / 3 , +infinity)

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.