Tentukanlah invers dari fungsi f(x) = 2x-3/x+4 ; x≠-4
f(x) = 2x - 3/x+4
Ibaratkan f(x) = y
y = 2x - 3/x+4
y( x + 4 ) = 2x - 3
xy + 4y = 2x - 3
xy - 2x = -3 - 4y
x( y - 2 ) = -4y - 3
x = -4y - 3/y-2
[tex] \boxed{ {f}^{ - 1} (x) = \frac{ - 4x - 3}{x - 2}} [/tex]
Semoga membantu
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