tolong dibantu beserta contoh,,, ,

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

misalkan f'(x) = y

y = 3x + 4 / 2x -1
y ( 2x -1) = 3 x + 4
2xy - y = 3x + 4
2xy - 3x = y + 4
x (2y - 3) = y + 4
x = y + 4 / 2y - 3

f'(2) = 2 + 4 / 2(2) -3
= 6 / 1
= 6

[tex]f(x)= \frac{3x+4}{2x-1} [/tex]
[tex]y= \frac{3x+4}{2x-1} [/tex]
y(2x-1) = 3x+4
2xy-y = 3x+4
2xy-3x = 4+y
x(2y-3) = 4+y
[tex]x= \frac{4+y}{2y-3} [/tex]
[tex] f^{-1} (x) = \frac{4+x}{2x-3} [/tex]
[tex] f^{-1} (2) = \frac{4+2}{2.(2)-3} [/tex]
[tex] f^{-1} (2) = \frac{6}{4-3} [/tex]
[tex] f^{-1} (2) = 6[/tex]