Let m(x) = x / x−1
a. find the inverse of m.
b. graph m. how does the graph of m explain why this function is its own inverse?
c. think of another function that is its own inverse.

Answer with Step-by-step explanation:

We are given that a function

a.We have to find the inverse of m.

Suppose,

Replace x by y and y by x

Substitute

b.When the inverse function of given function is

Then , we get fog(x)=

When f and g are inverse to each other then fog(x)=Identity function.

c.If f(x)=x

It is self inverse function.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!