Question

Nomor 7 dgn caranya
tlng yess!

Answer 1

G(x+2) = 2x+1
misal x+2 = y maka x = y-2
g(y) = 2(y-2)+1
g(y) = 2y-4+1
g(y) = 2y-3
g(x) = 2x-3

(fog)(X) = 3x²-2x+1
f(2x-3) = 3x²-2x+1
f(x) = (3/4)(x+3)²-(x+3)+1

f(2x-3) = 3x²-2x+1
jika x = 1 maka f(-1) = 3-2+1
                       f(-1) = 2

Answer 2

G(x + 2) = 2x + 1
x + 2 = y
x = y - 2
g(x + 2) = 2x + 1 ---> g(y) = 2(y - 2) + 1 = 2y - 4 + 1 = 2y - 3
y diganti dengan x menjadi
a. g(x) = 2x - 3

f(g(x)) = 3x² - 2x + 1
f(2x - 3) = 3x² - 2x + 1
2x - 3 = y
2x = y + 3
x = (y + 3)/2
f(2x - 3) = 3x² - 2x + 1 ---> f(y) = 3.((y + 3)/2)² - 2.((y + 3)/2) + 1
= 3.(y² + 6y + 9)/4 - y - 3 + 1
= 3/4(y² + 6y + 9) - (y + 3) + 1
b. f(x) = 3/4(x² + 6x + 9) - (x + 3) + 1

c. f(2x - 3) = 3x² - 2x + 1
x = 1 --> f(-1) = 3.1² - 2.1 + 1 = 1 + 1 = 2