Question

Been stuck on this for 2 days now can somone help me!!!

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

g(x)=cx−d
Part 2. Show your work to prove that the inverse of f(x) is g(x).
Part 3. Show your work to evaluate g(f(x)).
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
@ganeshie8

Answer 1

@iGreen @itsbribro @AriPotta

Answer 2

btw its x+a/b

Answer 3

Anyone??

Answer 4

@AlexandervonHumboldt2

Answer 5

i wil try to ask somebody

Answer 6

Okay for inverse functions, you switch the places of the x and y and solve for y, or in this case x and f(x) and solve for f(x).

Answer 7

but i have to plug in numbers it says for all of them. abcd

Answer 8

ia sked @perl

Answer 9

he was in here earlier and he left.

Answer 10

okayy

Answer 11

"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."

So let's make f(x)=x+3/5 and g(x)=5x-3 They're still inverses, we just put numbers in like they asked. Make sense?

Answer 12

does that kinda make sense????

Answer 13

yes

Answer 14

for part 1

Answer 15

okay so thats part 1?

Answer 16

yeah

Answer 17

are you sure that
f(x)=x+3/5 and g(x)=5x-3 are inverses?

Answer 18

Check to see if they are inverses
does f(g(x)) = x
f(g(x)) = f ( 5x - 3) = (5x-3) + 3/5 , which does not equal to x

Answer 19

okay so how do you make them equal x?

Answer 20

ohhhhh oops

Answer 21

Is
f(x) = x + a/b , and g(x) = cx -d
did i copy this correctly?

Answer 22

yes

Answer 23

the easiest inverses are f(x) = x + 1 , g(x) = x- 1

Answer 24

but its f(x)=x+1/?

Answer 25

and there is a cx not just x unless c is 1

Answer 26

1 = 1/1

Answer 27

To make it more interesting

f(x) = x + 2 , g(x) = x -2

and you can use 2 = 6/3 ,

f(x) = x + 6/3, g(x) = 1*x - 2 , that will work

Answer 28

so that is part 1 f(x)=x+6/3, and g(x)=1*x-2?

Answer 29

yes that works

Answer 30

now for part 2) you have to prove they are inverses

Answer 31

and they have to undo each other right?

Answer 32

right

Answer 33

okay so how do i prove they are inverses

Answer 34

the directions say exactly
Part 2. Show your work to prove that the inverse of f(x) is g(x).

Answer 35

it might help to show with a diagram

Answer 36

okay so what do i show?

Answer 37

my draw button died, one sec

Answer 38

@perl