reflect the function in the line y = x to get the inverse function

no2) Do all functions have inverses? (I believe the answer is yes, but they are not necessarily functions)

if they are not necessarily functions it would mean that an inverse function does not always exist, right?

if f(x) and g(x) are real valued functions that are inverses of each other, then f(g(x)) = g(f(x)) = x3) What does it mean for two functions to be inverse of each other?

switch x and y and solve for y4) How can you use algebra to determine if an inverse function exists?

check if it is one-to-one and onto5) How can you determine if an inverse function exists when given a graph of a function?

do you know what the inverse function does?

all this is information you could easily find by doing a web-search, by the way