The union of sets p = {5, 6, 7, 8, 9} q = {1, 2, 3, 4, 5} is given by which of the following? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4, 5, 5, 6, 7, 8, 9} ø {5}

First option.

Step-by-step explanation:

Given two sets A and B, the union (A∪B) will be the set of elements which belong to either A or to B or to both.

Inf this case you have these two sets:

{} and {}

To find the union of these sets, put together the elements of the set P and the elements of the set Q (you need  to remember that no element must be repeated).

Then, you get that the union of sets P and Q is:

∪{}

This matches with the first option.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2