Question

could someone help me on this question about composite and inverse functions

Answer 1

it is the question 9

Answer 2

@dan815 it's interesting but I don't know how to solve :)

Answer 3

@campbell_st

Answer 4

@freckles

Answer 5

ha!! ok, let me try once
\(f(g(x) )=\dfrac{x+2}{3}\)
and g(x) = 2x +5
I am trying to write f(g(x) in term of g(x) to find out f(x)
got my strategy??

Answer 6

tkae inverse

Answer 7

we have f(g(x)) should be g(x) + something, and the product is \(\dfrac{x+2}{3}\)
That is \(\color{red}{(2x+5)} + something = \dfrac{x+2}{3}\)
now, manipulate a little bit

Answer 8

ok, let dan help

Answer 9

what functions to do on
(x+2)/3 to give back 2x+5

Answer 10

It took me 15 minutes to figure it out. hehehe. but my approach is complicated.

Answer 11

((2(x-5))+2)/3 ?

Answer 12

f(x)=?

Answer 13

thats not really good way, i think u shud take inverse

Answer 14

ok umm

Answer 15

I FOUND F(X)=(x-1)/6