What are the domain and range of the function f(x) = 4(square-root 3 start-root 81 end-root) superscript x?

{x| x is a real number}; {y| y > 0}
{x| x > 4}; {y| y > 0}
{x| x is a real number}; {y| y > 4}
{x| x > 4}; {y| y > 4}

Domain, = {x| x is a real number}

Range,= {y|y> 4}

Step-by-step explanation:

The function is,'

f(x) =

    =

 Here, the domain is {x| x is a real number}

and since

> 0 ∀ x ∈ R

So, the range  is,

{y|y> 4}

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: