Question

Dadas as funções f(x)= 5x + 6 e g(x) = x+4, pede se :

a) x de modo que f(g(x))=0;
b) x para que f(2) +g(x)= g(f(4))

Answer 1

F(x)=5x+6
G(x)=x+4

A) F(G(x))=0
F(g(x))=5g(x)+6
F(G(x))=5(x+4)+6
F(g(x))=5x+26

5x+26=0
5x=-26
x=-26/5
x=-5,2

B) F(2)=5.2+6=16
F(4)=5.4+6=26
G(26)=26+4=30

16+x+4=30
20+x=30
x=10