contestada

Use f (x) and g (x) to evaluate each expression symbolically.

f (x)=4x-x^3, g (x)=x+3

(A) (g+g)(-2)
(B) (f-g)(0)
(C) (gf)(1)
(D) (g/f)(-3)

Respuesta :

Panoyin
 f(x) = -x³ + 4x
g(x) = x + 3

A. (g + g)(-2) = (-2 + 3) + (-2 + 3)
    (g + g)(-2) = 1 + 1
    (g + g)(-2) = 2

B. (f - g)(0) = (-(0)³ + 4(0)) - (0 + 3)
    (f - g)(0) = (0 + 0) - 3
    (f - g)(0) = 0 - 3
    (f - g)(0) = -3

C. (g · f)(1) = (1 + 3)(-(1)³ + 4(1))
    (g · f)(1) = (4)(-1 + 4)
    (g · f)(1) = (4)(3)
    (g · f)(1) = 12

D. (g/f)(-3) = (-3 + 3)/(-(-3)³ + 4(-3))
    (g/f)(-3) = 0/(-(-27) - 12)
    (g/f)(-3) = 0/(27 - 12)
    (g/f)(-3) = 0/15
    (g/f)(-3) = 0