Question

1).F(x) = 4^x+3.2^x+2 . Jika f(a) = 64
2).f(x) = 2^x, maka f(x+2)/f(x-3)

Answer 1

1).F(x) = 4^x+3.2^x+2 .
Jika f(a) = 64

2).f(x) = 2^x,
maka f(x+2)/f(x-3)

Jawab:
1. f(x)=(4^x+3) (2^x+2)
f(a)= (4^a+3) (2^a+2)=64
= 8a^2a+8^a+6^a+6=64
= 8a^2a+14^a+6=24
= 8a^2a +14^a=24-6
= 8a^2a +14^a= 18 dibagi 2
= 4a^2a+ 7^a=9
= 4a^2a + 7^a-9 = 0

2. f(x) = 2^x,
maka f(x+2)/f(x-3)
Jawab:
f(x)=2^x
f(x+2)= 2^x+2
f(x-3)=2^x-3
maka f(x+2)/f(x-3)=2^x+2/2^x-3
=( 2^x+2)(2^-x-3)
= 2^x+2+ (-x-3)
= 2^-1
= 1/2
Terima kasih