Are g(x) and f(x) inverses of each other? show all work always and explain in
words as you go. *
g(x)=4-3/2x
f(x)=1/2x+3/2

No,   and are not inverses of each other.

Step-by-step explanation:

Given functions:

To tell whether and are inverse of each other.

Solution:

If   and are inverse of each other, then:

  or  

Thus, to check if they are inverse of each other, we will find inverse of function and see if it is =

We have:

In order to find inverse we will replace with

Then we switch and

Then, we solve for

Subtracting both sides by 4.

Multiplying both sides by 2.

Using distribution:

Dividing both sides by -3.

Thus inverse of function can be given as:

Since , hence they are not inverse functions of each other.

x=30

step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.