Question

Given f(x)=2x+3 and g(x)=1/2(x-3), find the each composition. I am confuse how to set then up.

Answer 1

a composition is f(g(x)) nd g(f(x)), where you substitute the whole other function for x

Answer 2

yeah,

Answer 3

you start from the inside to the outside, but i still confuse how to set them up.

Answer 4

f(g(x)) = 2(g(x)) + 3

Answer 5

f(x)=2x+3 and g(x)=1/2(x-3),
f(g(x) = 2(g(x)) + 3
f(g(x) = 2(1/2(x-3)) +3

Answer 6

g(f(x)) = 1/2(f(x)-3)

Answer 7

lol, amistre you fail

Answer 8

:) how so?

Answer 9

i just confuse, i need steps

Answer 10

you just write something them leave.

Answer 11

is there a time limt to wait around for a response? or am i allowed to come back after a response has been given? ;)

Answer 12

i figure with 352 medals, i might be doing something right lol

Answer 13

should we set one?

Answer 14

WB, which steps do you get? That'd be a good start

Answer 15

ok, so plz do step this time.

Answer 16

the beginning,

Answer 17

those are the steps; plug the one into the other; thats all there is to it.

Answer 18

what you plug?

Answer 19

f(x) = 2x+3 means that 'whatever' x equals, plug it in.

f(g(x)) simply means that x = g(x)

Answer 20

f(x)=2x+3 and g(x)=1/2(x-3),
f(g(x) = 2(g(x)) + 3
f(g(x) = 2(1/2(x-3)) +3

g(f(x)) = 1/2(f(x)-3)
g(f(x)) = 1/2(2x+3)-3)
then simplify by working out how to remove the parentheses

Answer 21

f(g(x)) = 2(g(x)) +3

Answer 22

ah, got it. thx tonks

Answer 23

all set, then I'm going to go now...jk ;)

Answer 24

f(w) = 2(x) + 3

f(4) = 2(4) + 3

f(applesause) = 2(applesauce) + 3

f(g(x)) = 2(g(x)) + 3 lol

Answer 25

...typed that lol

Answer 26

wait, i have a similar problem, bvut much harder.

Answer 27

the was just the start. and i got he answer, my prof did it on the board.

Answer 28

Tonks has it ;)

Answer 29

thx amistre

Answer 30

WB, post it as a new question, it is easier to find that way

Answer 31

f(x)=-7/2x -3
g(x)=-2x+6/7

Answer 32

this one is much harder.

Answer 33

WB, there's a new thread with this posted, check it out...