Question

1) Dadas as funções f(x) = 4x – 2 e g(x) = 5 + x. Determine:
a) fog(x)
b) gof(x)
c) fof(x)
d) gog(x)​

Answer 1

a) $fog(x)=4(5+x)-2$

$fog(x)=20+4x-2$

$fog(x)=4x+18$

b) $gof(x)=5+(4x-2)$

$gof(x)=5+4x-2$

$gof(x)=4x+3$

c) $fof(x)=4(4x-2)-2$

$fof(x)=16x-8-2$

$fof(x)=16x-10$

d) $gog(x)=5+(5+x)$

$gog(x)=5+5+x$

$gog(x)=x+10$