#### Answer

$f(g(x))= \dfrac{3}{4}x-\dfrac{55}{8}$
$g(f(x))=\dfrac{3}{4}x+41$

#### Work Step by Step

Substitute g(x) in f(x):
$f(g(x))= \dfrac{6x-1}{8}+7=\dfrac{3}{4}x-\dfrac{55}{8}$
Substitute f(x) in g(x):
$g(f(x))= 6(\dfrac{x}{8}+7)-1=\dfrac{3}{4}x+41$