Question

Dada las funciones f (x)= 3x - 2; g (x) = x3. Determine:

a) (f + g)(2)

b) (f - g) (2)

c) (f g) (2)

d) (f / g) (2)

Answer 1

(f + g) (2) = 3x - 2 + x3 = 3(2) - 2 + (2)3  = 6 - 2 + 8 = 12

 

(f -g) (2) = 3x - 2 - x3 = 3(2) - 2 - (2) 3 = 6 -2 - 8 = -4

 

(fg) (2) = (3x - 2) . (x3) = 3x4 - 2x3 = 3(2)4 - 2(2)3 = 48 - 16 = 32

 

(f / g) (2) = (3x - 2) / x3 = (6 - 2) / 8 = 4 / 8 = 1 / 2