Question

@triciaal

Answer 1

f(x) the price with the coupon applied
$35 off the purchase, P, when you spend $70 or more
f(x) = (P - 70) -35 P >/+70

Answer 2

should be P >/= 70

Answer 3

is the "/" division?

Answer 4

in this case no ; it means or p = 70 also p>70 both conditions

Answer 5

ohh okay

Answer 6

would this be correct? \[p \ge70\]

Answer 7

g(x)= discount of 25% (% means per 100)
25% off means you only pay (100-25) = 75%

Answer 8

yes

Answer 9

oh okay

Answer 10

for g(x) I had g(x)=0.75x would that be correct?

Answer 11

the minimum is $70 so = 70 is included
more than $70 >70

Answer 12

very good!

Answer 13

now part c f0g(x) means use g(x) as x in f(x)
using the function f(x) when you see x replace it with g(x) expression

Answer 14

means get the item on sale and then it counts towards your purchase to qualify for the discount

Answer 15

but theres no x in the equation f(x)=(p-70)-35

Answer 16

does the p count as x?

Answer 17

yes sorry

Answer 18

oh okay so I just put g(x) into f(x) right?

Answer 19

(f0g)=0.75x-70)-35

is this right?

Answer 20

(f0g)=(0.75x-70)-35

Answer 21

for part d the price with the coupon and then the discount

Answer 22

what?

Answer 23

for c yes

Answer 24

I got c right?

Answer 25

yes c is correct !

Answer 26

For d is this correct (g0f)=0.75(x-70)-35?

Answer 27

for d its the other way
now you have g o f(x)
so you use the function g(x) and where you have x use the expression for f(x)

Answer 28

(g o f)=0.75(x-70)-35?

Answer 29

do I distribute the 0.75?

Answer 30

0.75 of f(x) watch your parenthesis

Answer 31

0.75{x - 70 - 35}= 0.75(x - 105)

Answer 32

Ohhh I didnt know I was suppose to put the whole thing in parentheses

Answer 33

the whole thing is f(x) right?

Answer 34

yes

Answer 35

now for e I think it matters because you have to spend $70 before you can use the coupon.

Answer 36

thats what I was thinking because with the 25% off is for the entire purchase

Answer 37

if you apply the discount first the purchase amount will be less in trying to meet the amount required (70) to qualify to use the coupon

Answer 38

you still get the 25% off

Answer 39

are you ready to go shopping now? lol

Answer 40

not if it involves math lol

Answer 41

I am not a shopper hope this helped

Answer 42

Thank you so much for all your help with this because I would have never gotten this on my own. I dont have any more questions right now but I probably will later lol

Answer 43

really! you need to know how much to spend to take advantage of all the discounts

Answer 44

Yeah I'm gonna have to learn that lol

Answer 45

later