Which pair of functions satisfies(f∘f−1)(x)=x and (f−1∘f)(x)=x? f(x)=x+3−−−−−√3 and f−1(x)=x3−3

f(x)=x+7−−−−−√, x≥−7, and f−1(x)=x+7

f(x)=x2+1 and f−1(x)=x+1−−−−−√, x≥−1

f(x)=x3+5 and f−1(x)=x−5−−−−−√, x≥5

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

The length and width of a rectangle are consecutive even integers the area of the rectangle is 120 squares units what are the length and width of the rectangle

Sum is 17 and their difference is 3