Tentukan fungsi invers dari f(x)=3x/2x-8, untuk x =4

Fuingsi invers

f(x) = (3x)/(2x-8)

f⁻¹{ 3x/ (2x-8)} = x
f⁻¹ (4) = ..

3x /(2x - 8) = 4
4(2x - 8) = 3x
8x - 32 = 3x
8x - 3x = 32
5x = 32
x = 32/5
x = 6,4
f⁻¹(4) = 6,4

Bab Fungsi
Matematika SMA Kelas X

f(x) = (ax + b) / (cx + d)
f^-1 (x) = (-dx + b) / (cx - a)

f(x) = (3x) / (2x - 8)
f^-1 (x) = (-8x) / (2x - 3)
f^-1 (4) = (-8 . 4) / (2 . 4 - 3)
f^-1 (4) = -32/5
f^-1 (4) = - 6 2/5