Question

determine a lei que define a funçao g o f e f o g em cada caso:
a) f: r-r,sendo f(x)=2x
g:r-r,sendo g(x)=4x+1
b)f:r-r,sendo f(X)=6-x
g:r-r,sendo g(x)=6x+3

Answer 1

a)

gof = 4(2x) + 1

gof = 8x + 1
------------
fog = 2(4x + 1)

fog = 8x + 2
---------------------
b)

gof = 6(6 - x) + 3

gof = 36 - 6x + 3

gof = 33 - 6x
-----------------

fog = 6 - (6x + 3)

fog = 6 - 6x - 3

fog = 3 - 6x