Question

Anyone willing to help me on these problems?
(not good in math so i need step by step help , i have know idea what to do )

Answer 1

Ill give it a go

Answer 2

first one
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

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.

Answer 3

Sorry, Ill be honest and say i am also confused by this...

Answer 4

thats ok :) thanks for trying to help tho

Answer 5

okay, first part:

\[f(x) = x+a\]\[g(x) = cx-d\]
The way you find the inverse of \[f(x) = \text{<something>}\]is to replace \(f(x)\) with \(y\), and then go through and swap \(x\) and \(y\). solve for \(y\). that's your inverse.

So, say you need to find the inverse of \[f(x) = 2x+4\]

replace \(f(x)\) with \(y)\:\[y=2x+4\]now swap \(x\) and \(y\):
\[x = 2y + 4\]solve for \(y\):
\[x-4 = 2y+4-4\]\[x-4=2y\]\[\frac{x-4}{2} = \frac{2y}2\] \[y=\frac{x}{2}-2\]

Answer 6

so, how do we find the inverse of \[f(x) = x+a\]given what I just told you?

Answer 7

oh nvm, how do we find an inverse?

Answer 8

okay so first do f(x)=3x-5 okay?


well to get g(x) you find the inverse of f(x) like this:


f(x)= 3x -5
Now change f(x) for
y=3x-5

switch the x and y
x= 3y-5
Now isolate the y by adding 5 to both sides
x+5=3y
then divide both sides by 5

x=5=3y/5

y=x+5/3

For part one you write the functions, and then for part 2, you show the work that i did to find the inverse.

Does this make sense?



I found this on another Open-study site that's how i got all of this info :)

Answer 9

yes thank u so much

Answer 10

Welcome :)

Answer 11

can u help with the rest?

Answer 12

@mathwizzard3

Answer 13

I might be able to help....with which part?

Answer 14

I'll ask my buddy to come over to maybe help @chalkskull

Answer 15

the last part thanks

Answer 16

So what have you come up with so far?

Answer 17

aka your two functions

Answer 18

i don't understand what the others said for part one and part 2 so i don't know what i should do for the last part

Answer 19

Yeah.....it seems pretty confusing I'll ask some people to help @chalkskull @alibaby @milk333 @matlee @mathstudent55

Answer 20

ok

Answer 21

@agent0smith @AnitaS. @TheCuteOne25 @HarleyQuinn98 @Thebossofme191

Answer 22

Do you still need help? @safyousuff97

Answer 23

@safyousuff97 so. hmmm is it \(\bf f(x)=\cfrac{x+a}{b}\qquad g(x)=cx-d\)

Answer 24

yes please thank you

Answer 25

With what?