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!!!

55

step-by-step explanation:

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.