Find the inverse of fx 1 x 43 x 5 show work step by step a

Find the inverse of f(x) = (-1 x + 4)/(-3 x -5)

show work step by step and explain

f(x) = (-x +4)/( -3x -5)

y = (-x +4)/( -3x -5)

To find inverse : replace x= y and y =x

So, x = ( -y +4)/(-3y -5)

-3xy -5x = -y +4

y ( -3x +1) = 4+5x

y = (4 +5x)/(1 -3x)

So, f^-1(x) = (4 +5x)/(1 -3x)