Question

i need help with step 4 and 5 @ilfy214 @ivettef365 @amistre64

Answer 1

a composition is when one thing is "composed" (or built with) the other one ...

Answer 2

f(g(x)) means that the function defined for f(x) is composed of (made with, built with) the function defined for g(x)

Answer 3

thats what i put 4 5?

Answer 4

put for 5?

Answer 5

i just explained to you what a composite function means ... now its up to you to determine what your particular f(g(x)) equals when x=3 :/

Answer 6

im confused

Answer 7

@amistre64

Answer 8

@ilfy214 can u help?

Answer 9

i need help with 5 now

Answer 10

@amistre64 explained what a composite function is.... "a composition is when one thing is "composed" (or built with) the other one ...f(g(x)) means that the function defined for f(x) is composed of (made with, built with) the function defined for g(x)" So yes for 4

Answer 11

What is the equation you used for Part I and Part II and I guess Part III also??

Answer 12

What is the function*

Answer 13

Step 1
inches(x) = 12x converts feet to inches


Step 2
feet(y) = 3y converts yards to feet


Step 3
inches(feet(y)) = 12(3y) = 36y converts yards to inches.

Answer 14

OKay... Well plug in x = 3! But I suggest you use minor changes for your formulas

Answer 15

\[f(x) = 12x\]\[g(x) = 3x\]\[f(g(x)) = 36x\]

Answer 16

oo what did i do wrong

Answer 17

The first is fine! :) But the second and third don't work if there is no "x" to work with

Answer 18

You can't plug in "x" when you only have a y

Answer 19

sso what do i do

Answer 20

if you really want to use "y", use it for the first equation, but it tells you to use "x"\[f(x) = 12\]\[f(y)=12y\]What do you do? Look at the equations I did before... Not in this comment

Answer 21

12*3?

Answer 22

Plug it in the last function HERE:\[f(y)=12y\]\[ g(x)=3x \]\[f(g(x))=12(3x)= 36x\]

Answer 23

thats it?

Answer 24

Nope! You have to plug in 3, and THEN thats it

Answer 25

i thought we did

Answer 26

3 is x?

Answer 27

yes! 3 = x

We didn't. There are two 3s in this function.
The 3 for: g(x) = 3x
And the 3 for : x = 3

Answer 28

Does that make sense?

Answer 29

so it would be 3(3)
12 (3)(3)=36(3)

Answer 30

YES!!!!

Answer 31

so what do i so now

Answer 32

:D WOO-HOO!\[f(g(x)) = 12(3(3)) = 12(9) = ?\]

Answer 33

You solve it

Answer 34

can we restate everything we did for part 1,2,3,4 and 5 to make sure i have everything correct and its 108

Answer 35

Okay! And correct!

Answer 36

:)

Answer 37

Part I:\[f(y)=12y\]OR\[f(x) = 12x\] Part II:\[g(x) = 3x\] Part III:\[f(g(x))=12(3x)\] Part IV: thats whatever you wrote!
Part V:\[f(g(x)) = 12(3x) = 12(3(3)) = 12(9) = 108\]
MAKES SENSE???

Answer 38

yesssssss thank you:)

Answer 39

No problem! Thats what you have right?

Answer 40

yessss