Question

@amistre64 http://prntscr.com/4cuv6q

Answer 1

mad algebra skills, thats all this is

Answer 2

if f and g are inverses, then f(g) = g(f) = x

Answer 3

I understand how to do it, but the algebra is confusing!
Exactly, something I don't have

Answer 4

can you type f and g on here so i dont have to get a migraine flipping between windows?

Answer 5

f(x) = (x-8)/(x-7) and g(x) = (-7x-8)/(x-1)

Answer 6

god, now f(g) = (g-8)/(g-7)

replace g with its value

(-7x-8)/(x-1)-8
----------------
(-7x-8)/(x-1)-7

i would suggest multiplying by (x-1)/(x-1) to help clear things up

Answer 7

*good lol

Answer 8

another thought, good or bad, is to add/subtract 1 from the top

(-7x-8)/(x-1)-8+1-1
--------------------
(-7x-8)/(x-1)-7


(-7x-8)/(x-1)-7 -1
--------------------
(-7x-8)/(x-1)-7


1
1 - ------------------
(-7x-8)/(x-1)-7

then multiply off the x-1

x-1
1 - ------------------
-7x-8 -7(x-1)

Answer 9

a few ways to approach it, but its al just algebra

Answer 10

I did it the first way and got -15x/(-14x-1)

Answer 11

(-7x-8)/(x-1)-8
----------------
(-7x-8)/(x-1)-7


-7x-8 -8(x-1)
----------------
-7x-8 -7(x-1)



-7x-8 -8x+8
------------
-7x-8 -7x+7



-15x
------
-14x-1


do tey have to be inverses? or are we testing to see if they are or not?

Answer 12

It says confirm, so I'm assuming they have to be.

Answer 13

f(x) = (x-8)/(x-7) and g(x) = (-7x-8)/(x-1)
^^^^
should be +7 from the link


x = (y-8)/(y+7)

x(y+7) = (y-8)

xy+7x = y-8

7x+8 = y-xy

7x+8 = y(1-x)


7x+8 -7x-8
------- = y = ------- the inverse checks out
1-x x-1

Answer 14

Cool, thanks!

Answer 15

2 more question, if that's not a problem

Answer 16

(-7x-8)/(x-1)-8
----------------
(-7x-8)/(x-1)+7


-7x-8 -8(x-1)
----------------
-7x-8 +7(x-1)



-7x-8 -8x+8
------------
-7x-8 +7x-7



-15x
------ = x
-15

Answer 17

working g(f) should produce x as well

Answer 18

http://prntscr.com/4cv25q