Thread: help with composite functions

Given that f(x)= x^2 and g(x)=4x-1 find the value of the following

a) gf(-3)
b) fgf(-1)
c) gfgf(2)

I think i can do a but i dont know the way of doing b and c

is a correct?

gf(-3)= g(f(-3))

f(-3)= -3^2 = 9

g(9)= 4(9)-1 = 35

correct!

follow the same logic, except you're plugging in three times, starting with the inner function and evaluating its output in the next function out.

Im solving such questions for the first time..
so for b

fgf(-1)= fg(f(-1))

f(-1)= x^2= -1^2=1

but i dont know how to continue..?

is it like this..

fg(1)= f(g(1))

g(1)= 4(1)-1

=3

?