For functions
f ( x) = 7x − 8
and
g ( x) = 7x + 8,
find the following. ( Simplify your answers completely.)
(a)
( f · g ) (x) =
(b)
( f · g ) (−2)
f(x) = 7x - 8 and g(x) = 7x + 8
(f · g)(x) = f(x) · g(x) = (7x - 8) · (7x + 8) = 49x2 - 64
(f · g)(-2) = 49(-2)2 - 64 = 132