Formula of inverse show work

Calculus
Tutor: None Selected Time limit: 1 Day

F(x) = (4x+3)/(2x-1)

Feb 24th, 2015

F(x) = (4x+3)/(2x-1)  First switch domain and range

x = (4y+3)/(2y-1)    Then solve for y

Cross multiply to get

2xy - x = 4y + 3

2xy - 4y = x + 3

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

y = (x + 3)/(2x - 4)

Therefore,

F^-1(x) = (x + 3)/(2x - 4)

Feb 24th, 2015

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