Question

Se f(x) = 2x - 2 e g(x) = -x + 3, então f(g(a)) vale:

Answer 1

Se f(x) = 2x - 2 e g(x) = -x + 3, então f(g(a)) vale:lembrando que:
BASTA substituir o (-x + 3 )  no (x) do f(x)  OBSERVA

g(x) = - x + 3
f(g(x)) = 2(-x + 3)  - 2
f(g(x)) = -2x + 6 - 2
f(g(x)) = - 2x + 4

Answer 2

$g(x)=-x+3\\\\g(a)=-a+3\\\\g(a)=3-a$
_____

$Se~f(x)=2x-2,~ent\~ao~f(g(a))=2g(a)-2$

Como g(a) = 3 -  a:

$f(g(a))=2(3-a)-2\\\\f(g(a))=6-2a-2\\\\f(g(a))=6-2-2a\\\\\boxed{\boxed{f(g(a))=4-2a~~~~ou~~~~f(g(a))=2(2-a)}}$