Penjelasan dengan langkah-langkah:

y = f(x)

1. y = 5x + 8

y - 8 = 5x

x = (y - 8)/5

f^-1(x) = (x - 8)/5

2. y = 2x - 11

y + 11 = 2x

x = (y + 11)/2

f^-1(x) = (x + 11)/2

3. y = (5x + 2)/(3x + 4)

y(3x + 4) = 5x + 2

3xy + 12y = 5x + 2

3xy - 5x = -12y + 2

x(3y - 5) = -12y + 2

x = (-12y + 2)/(3y - 5)

f^-1(x) = (-12x + 2)/(3x - 5)

4. y = (2x - 7)/(4x + 5)

y(4x + 5) = 2x - 7

4xy + 5y = 2x - 7

4xy - 2x = -5y - 7

x(4y - 2) = -5y - 7

x = (-5y - 7)/(4y - 2)

f^-1(x) = (-5x - 7)/(4x - 2)

ingat bahwa,

f(x) = (ax + b)/(cx + d)

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