Answer
$(f$ o $g)(x) = 2x + 14$
$(g$ o $f)(x)= 2x + 7 $
$(f$ o $g)(2) = 19$
$(g$ o $f)(2)= 11$
Work Step by Step
$f(x) = 2x$
$g(x) = x+7$
a) $(f$ o $g)(x) = f(g(x))$
$f(g(x)) = f(x+7)$
$f(x+7) = 2(x+7)$
$= 2x + 14$
b) $(g$ o $f)(x)= g(f(x)) $
$g(f(x)) = g(2x)$
$g(2x) = (2x) + 7$
$= 2x + 7$
c) $(f$ o $g)(2) = f(g(2))$
$g(2) = (2) + 7$
$= 9$
$f(9) = 2(9)$
$= 18$
d) $(g$ o $f)(2)= g(f(2)) $
$f(2) = 2(2)$
$= 4$
$g(4) = 4 + 7$
$= 11$
