Question

Explain in your own words how to find an inverse of a function. How can you use a graph to check to see if your two functions are in fact inverses? @3mar

Answer 1

@ParthKohli

Answer 2

1. solve for x
2. swap x and y
let's take ex

Answer 3

y+x+3=0

separate x in one side
x=-3-y

swap x and y
y=-3-x

Done!

Answer 4

@18jonea

Answer 5

ok now how would you use a graph

Answer 6

That is easy
Take that site. It is cool and interesting!
https://www.desmos.com/calculator/zrnehzlbro

Answer 7

Thank you for the medal!

Answer 8

ok but i have to explain in words how to do that

Answer 9

This is your mission should you choose to accept it ;)
I tell the maths and you do the rest!

Answer 10

i am not sure how to explain it though @3mar

Answer 11

So?

Answer 12

like i know if they are opposites they are inverse of each other, but how would i use a graph?

Answer 13

http://www.purplemath.com/modules/invrsfcn3.htm
very helpful link I think

Answer 14

i am still not understanding

Answer 15

Let's express what we are doing!

Answer 16

If we have a function of x, let it is f(x).
we should firstly check for inverse availability using horizontal line test. If it passes, the inverse is also a function!

Then separate all x terms in one side and the other terms in the other side.
i.e: solve for x

Then replace every x with y and every y with x, so you got the function g(x) which is an inverse of the original function f(x)

and you can illustrate by an example!

Answer 17

ok so if they have reversed coordinantes, or if it passes the horizontal line test it is inverse?

Answer 18

If it passes horizontal line test, its inverse is also a function.
If it does not pass the horizontal line test, the inverse is not a function!

Answer 19

Another expression of the inverse of a function is the image of this function when reflected across the line y=x. ...i.e graphically

Answer 20

ok thank you! sorry for not underswtanding

Answer 21

Not at all!
You are welcome!

Answer 22

Thank you for learning!!

Answer 23

Any more questions?

Answer 24

not right now

Answer 25

Any Help... Anytime.