Question

Express the following function, F(x) as a composition of two functions f and g.

(will draw function F(x) in a sec!)

***Please explain! Thank you =)

Answer 1

Any ideas where to start?

Answer 2

i have no clue about compositions and stuff :/ they confuse me :(

Answer 3

Say you have f(x) = x^2 and you have g(x) = x+1

Then

f(x) = x^2

f(g(x)) = (g(x))^2

f(g(x)) = (x+1)^2

Answer 4

Notice how I replaced every 'x' with g(x) in the second line

Answer 5

Then in the third line, I replaced g(x) with what it really was...which is x+1

Answer 6

i think i get it :) sooo in this problem, is it asking me to solve for f(x) and g(x) ??

Answer 7

yes, pretty much

Answer 8

okay :) what do i do first tho? :)

Answer 9

let's say g(x) = x^2, what would f(x) have to be to make f(g(x)) like what you see above?

Answer 10

(x+1)^2 ??