Jika f(3x - 2) = x + 1 dan g(5 - x) = 2x maka nilai f(g(3)) + g(f(-5)) =
Jika f(3x - 2) = x + 1 dan g(5 - x) = 2x maka nilai f(g(3)) + g(f(-5)) = ….
Pembahasan:
f(3x – 2) = x + 1
→ 3x – 2 = y → x = 1/3 (y + 2)
f(x) = 1/3 (x + 2) + 1
g(5 – x) = 2x
→ 5 – x = y → x = 5 – y
g(x) = 2(5 – x) = 10 – 2x
g(3) = 10 – 2 . 3 = 4
f(g(3)) = f(4) = 1/3 (4 + 2) + 1 = 3
f(-5) = 1/3 (-5 + 2) + 1 = 0
g(f(-5)) = g(0) = 10 – 2(0) = 10
Sehingga f(g(3)) + g(f(-5)) = 3 + 10 = 13
Terkahir diperbaharui pada 27/12/2022