+208 For functions
f ( x) = x − 1
and
g ( x) = 4x2 + 3x − 5,
find the following. ( Simplify your answers completely.)
(a)
( f · g ) (x) =
(b)
( f · g ) (−2) =
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 ) =
+23252 I'm assuming that "·" means "multiplication", not "composition".
f(x) = x - 1 g(x) = 4x2 + 3x - 5
(f · g)(x) = f(x) · g(x) = (x - 1) · (4x2 + 3x - 5)
= (x)(4x2) + (x)(3x) - (x)(5) + (-1)(4x2) + (-1)(3x) - (-1)(5)
= 4x3 + 3x2 - 5x - 4x2 - 3x + 5
= 4x3 - x2 - 8x + 5
(f · g)(-2) = 4(-2)3 - (-2)2 - 8(-2) + 5 = -15
The next problem is like this problem
