Question

F(x)=x+6/3 and g(x)=1x-2
Part 2. Show your work to prove that the inverse of f(x) is g(x). How they are inverses is because they have to to undo each other and g(f(x))=x G(f(x))=g(x+6/3)=1(x+6/3)=x+2-2=x and F(g(x)=f(1x-2)=(x-2)+6/3 because x-2+2=x
Part 3. Show your work to evaluate g(f(x)). (SHOWED IN PART 2) g(f(x))=x G(f(x))=g(x+6/3)=1(x+6/3)=x+2-2=x and F(g(x)=f(1x-2)=(x-2)+6/3
Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include 5 values for each function. Graph the line y = x on the same graph

Answer 1

@ganeshie8 you said you would help all i need help is with part 4!!

Answer 2

@campbell_st i need help with part 4 if you can

Answer 3

@myininaya i dont get part 4 the graphing and making the table

Answer 4

it sounds like
it wants you to make a table
like
x|f(x)|g(x)
---------
0|
1|
2|
3|
4|

Answer 5

plug in 0 into both functions and see what the output is

Answer 6

then 1

Answer 7

then 2

Answer 8

and so on...

Answer 9

that is how I interpret it

Answer 10

okay so what i dont get is what to graph and how to

Answer 11

you graph both f(x) and g(x)

Answer 12

and also y=x

Answer 13

so in all you will graph 3 different functions on the same little picture thing

Answer 14

\[f(x)=x+\frac{6}{3} \text{ or } f(x)=\frac{x+6}{3} ?\]

Answer 15

but there is only 2 different functions i thought?

Answer 16

and the first one

Answer 17

But it wants to graph three
f(x),g(x), and finally y=x

Answer 18

ohh okay so how do i do that?

Answer 19

that is three functions in all

Answer 20

so f(x)=x+2

Answer 21

Graph f(x)=x+2

Answer 22

how and idk where to graph lol im in virutal is there a site i can use?

Answer 23

to graph?

Answer 24

use paper and pencil

Answer 25

and i need help on the table i made it with all the numbers plugged in and yes i know how to graph but i dont know what site to use

Answer 26

f(x)=mx+b
is a linear function
with slope m and y-intercept b

Answer 27

so the slope is 1 and y intercept is 2

Answer 28

yes for f(x)=x+2

Answer 29

first can we do the table because when i plugged in 1 i got 2.3 repeating

Answer 30

for f?

Answer 31

yes

Answer 32

if x=1
then f(1)=1+2=3
and g(1)=1-2=-1

Answer 33

and the last function y=x
we can call that h(x)=x
h(1)=1

Answer 34

no it would be f(1)=1+6/3 i thought then add 1 to 6 and then divide 7 by 3?