Question

What are the domain and range of the function f(x) = 4(3/81)"?
{xl x is a real number}; {vl y >0}
{x|x > 4}; vly >0}
{xl x is a real number}; {vl y > 4}
{x\ x > 4}; {vy> 4}

Answer 1

Answer:

we are given

Domain:

we know that domain is all possible values of x for which any function is defined

Here , since, x is only exponent

so, we can take any values of x

it will be defined for all values of x

so, domain is all real numbers

{x | x is a real number}

Range:

we know that

range is all possible values of f(x) or y

Since, there is no negative sign here

so, f(x) will always be positive and greater than 0

so, range is y>0