Will give brainliest! a. use composition to prove whether or not the functions are inverses of each other.  b. express the domain of the compositions using interval notation.

A.The functions f(x) and g(x) are inverses of each other

B.  x∈ (-∞ , 0) ∪ (0 , 2) ∪ (2, +∞)

Step-by-step explanation:

A.

To prove the above, we use the following formula:

f⁻¹( f(x) ) = x    

where f⁻¹(x) is inverse function and f(x) is original function

In this case we use f(x) as inverse function and g(x) as original function

Composition of functions is:

f(g(x)) = f((2x+1)/x) = 1/(((2x+1)/x) -2) = 1/((2x+1-2x)/x) = 1/(1/x) = x

We get x finally and prove that these functions are inverses to each other.

B.  Composition of the functions are possible under following conditions:

x -2 ≠ 0 and x ≠ 0  namely x ≠ 2 and x ≠ 0

Domain is  x∈ (-∞ , 0) ∪ (0 , 2) ∪ (2, +∞)

God with you!!!

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|