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)

Question

08-09-2015
Mathematics

Answered

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)

Verified Answer :

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Panoyin Panoyin · Answer 1 · 2015-09-08T17:11:00-04:00

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

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)

Verified Answer :

Related Questions

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)