Question

let f(x)=1-2x^2 and g(x) = x+1 compute the following
(f o f)(x)

Answer 1

do you mean (f o g)(x) ???

Answer 2

yes

Answer 3

do I time the f(x) twice

Answer 4

\[f\circ f(x)=f(f(x))=f(1-2x^2)=1-2(1-2x^2)^2\]

Answer 5

satellite he meant f o g not f o f

Answer 6

no I mean f 0 f that is correct

Answer 7

oh
then satellite has it

Answer 8

ok thanks

Answer 9

so if i have (g o g) do I go like this

Answer 10

but use the formula for g?

Answer 11

to find gog, substitute x with the equation of g in the formula of g.
gog=g(g(x))=g(x+1)=(x+1)+1=x+2