Function formula! Q i need help really bad!!!!!!!!!?

Question

A function P matches each integer with its opposite( the integer with the same absolute value, but the opposite sign). A function D matches each integer with its double. A) write formulas for the functions p and d. b) write a formula for the composite function d o p : then compute (p o d)(15) and (d o P)(-12). c. write a formula for the composite function p o d: then compute (p o d)(15) and (p o d)(-12).
d) are these two composite functions equal? why? or why now?please explain as easy as posible, with steps if u can,, n also wat odes it mean!! diferent example...a function p matches each integer with its opposite(the integer with the same absolute value, but the oposite sign). a function t matches each integer with the integer that is two greater than the integer.. a write formulas for the functions p and t.
b) write a formula for the composite function t o p: then compute (t o P)(15) and (t o p)(-12).
c) write the formula for the composite function p o t: then rest below

ok let me finish,, then.. compute (p o t) (15) and (p o t)(-12)
D) are they equal why or why not, thanxs sopoooo much

Answer 1

P(n) = -n and D(n) = 2n. DoP(n) = D(P(n)) = D(-n) = -2n, and PoD(n) = P(D(n)) = P(2n) = -2n, Thus, PoD(15) = -30 = DoP(15). In this case the two are the same because the operations of negating (P) and doublimg (D) may be performed in any order without affecting the result. However, in general, composition of functions is not commutative.

Now do your own work.