Matematika fungsi, no 14,15,16 mohon bantuannya ya,secepatnya dengan jawaban rinci agar bisa dipahami terima kasih.
Fungsi Invers
Cara cepat :
f(x) = (ax + b)/(cx + d)
maka
f^-1 (x) = (-dx + b)/(cx – a)
#14
f(x) = (x – 2)/(x + 4)
f^-1 (x) = (-4x – 2)/(x – 1)
f^-1 (x) = (4x + 2)/(1 – x) dan x ≠ 1
#15
f(x) = (2x – 1)/(3x + 4)
f^-1 (x) = (-4x – 1)/(3x – 2)
f^-1 (1) = (-4.1 – 1)/(3.1 – 2)
f^-1 (1) = -5
#16
f(x) = y = 3/7 (4x + 5)
7y = 3(4x + 5)
7y = 12x + 15
x = (7y – 15)/12
f^-1 (p) = 4
(7p – 15)/12 = 4
7p – 15 = 48
7p = 48 + 15
p = 9