The answer is a (three eights over three fifths= five eights)
Answer:
Hello!! Your answer is 25% I think!
Hope this helps!!
Given:
Expression is

To prove:
If r is any rational number, then
is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,

It can be written as

Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So,
is rational.
Hence proved.

is undefined if the argument

is negative, so you first need to require that

We're not done yet, though, because

still doesn't exist when

, so we remove this from the domain and we're left with

, or in interval notation,

To find the range, consider the limits of the function as you approach either endpoint of the domain.


Since

is positive everywhere, the range is