Question

Tolong matematika ya... Pakek caranya 1-3

Answer 1

1. f(x) = 2x³ - 6x
f(x+1)=2x³-6x
misal
t= x+1
x = t-1
f(x) = 2(t-1)³-6(t-1)
=2((t²-2t+1)(t-1))-6t+6
=2(t³-t²-2t²+2t+t-1)-6t+6
=2(t³-3t²+3t-1)-6t+6
=2t³-6t²+6t-2-6t+6
=2t³-6t²+4

f(x) = 2x³-6x²+4

2.
f(x) = 3x-6
g(x) =2x+a

(fog)(x) = (gof) (x)
3(2x+a) - 6= 2(3x-6)+a
6x+3a-6=6x-12+a
6x-6x+3a-a = -12+6
2a=-6
a=-3

3.(fog) (2)
g(2)=2(2) / 2-3
=4/-1
=-4
f(-4)=3x²-2
=3(-4)²-2
=3(16)-2
=48-2
=46