Question

I will give medal and fan
NEED HELP

Answer 1

I got part 1, 2, 4, i need help on part 3

Answer 2

Task 1
Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)= x+a/b

x+6/3





g(x)=cx−d

3x-6


Part 2. Show your work to prove that the inverse of f(x) is g(x).
F(x) = x + 6/3
Y = x+6/3
3 x y = x + 6
3y-6=x
X=3y-6
G(x)=3x-6
Part 3. Show your work to evaluate g(f(x)).

Answer 3

Well, first what are inverses?

Answer 4

I got all of that part but there pretty much wanting f(x) become or how it is the same as g(x)

Answer 5

They are making fx into gx or gx into fx right?

Answer 6

hold on

Answer 7

I get the idea of inverses just dont know how to put it in words

Answer 8

Okay. So now that you did the work, you need help explaining it?

Answer 9

I just need help on part 3 and the rest of task 2

Answer 10

part 3 on task 1

Answer 11

Okay so you know what g(f(x)) means right?

Answer 12

meaning that you need to combine those?

Answer 13

Well f(x) is a function, right? And so you are multiplying g by f(x). Am I right?
*it's been awhile soooo

Answer 14

Hold on let me check

Answer 15

so would it be 3x-4?

Answer 16

Could you show how you did that real quick?

Answer 17

I got help from another person and he told me but I dont think it was the whole thing then never got back on

Answer 18

I try to find it real quick

Answer 19

ok

Answer 20

http://home.windstream.net/okrebs/page42.html


This gave me an idea of how to do it

Answer 21

Oh! I found something: "Yes. Part 1 just asked you to put in real numbers so we used:

f(x)=x+3/5 and g(x)=5x-3

Then part 2 asked you to show how f(x) was the inverse of g(x) and we did that by doing:

x=f(x)+3/5 and got the inverse as 5x-3.

And part 3 said to evaluate g(f(x)) which we did by putting f(x) in for the x of g(x) and showed that it comes out to = x which is what you'll always get if you're doing it right."
-marissalovescats

Answer 22

So what I think that means is:
\[g(f(x))\]
\[g(f(x))=3(f(x))-6\]

Answer 23

so how did you get that?

Answer 24

I think it needs to be in a equation form

Answer 25

Because
g(x) = 3x-6
so
if x = f(x)
then g(f(x))=3(f(x))-6
Compare
\[g(x) = 3x-6\]
and
\[g(f(x))=3(f(x))-6\]

Answer 26

Oh okay so
\[=3(x+6/3)-6\]

Answer 27

\[=3(x+2)-6\]

Answer 28

Yes thats it I now need help with task 2

Answer 29

just give me a sec

Answer 30

Task 2 numbers
A-2
B-8
C-4
D-6

Answer 31

Are they asking for two type of sets of numbers?

Answer 32

I think they're just asking for two equations using a√x+b+c=d

Answer 33

By switching the numbers around?

Answer 34

So the first equation is
\[2\sqrt{8+4+6}\]

Answer 35

Well why did you susbstitute x for the value that goes with b?
I got \[2\sqrt{x+8}+4=6\]

Answer 36

arrgh I'm so sorry I have to go :(

Answer 37

oh ok