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!!!

she will travel a distance in the range of 3 - 11 miles

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.