Invers Fungsi
no. 1
f(x) = y = 6x - 3
6x = y + 3
x = f^-1 (y) = (y + 3)/6
f^-1 (x) = (x + 3)/6
no. 2
f(x) = 6x - 3
f^-1 (5)
= (5 + 3)/6
= 8/6
= 4/3
no. 3
f(x) = y = (2x - 8)/(3x + 6)
kali silang
3xy + 6y = 2x - 8
2x - 3xy = 6y + 8
x(2 - 3y) = 6y + 8
f^-1 (y) = (6y + 8)/(2 - 3y)
f^-1 (x) = (6x + 8)/(2 - 3x)
dan x ≤ 2/3
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Invers Fungsi
no. 1
f(x) = y = 6x - 3
6x = y + 3
x = f^-1 (y) = (y + 3)/6
f^-1 (x) = (x + 3)/6
no. 2
f(x) = 6x - 3
f^-1 (x) = (x + 3)/6
f^-1 (5)
= (5 + 3)/6
= 8/6
= 4/3
no. 3
f(x) = y = (2x - 8)/(3x + 6)
kali silang
3xy + 6y = 2x - 8
2x - 3xy = 6y + 8
x(2 - 3y) = 6y + 8
f^-1 (y) = (6y + 8)/(2 - 3y)
f^-1 (x) = (6x + 8)/(2 - 3x)
dan x ≤ 2/3