# Math Help - Inverse of Funciton

1. ## Inverse of Funciton

I have a Function I need to inverse.
Let me know if I have gone wrong somewhere.
$f(x) = e^{(4x-2)} +4$

$= ln(x) = \ln e^{(4x-2)}+4$

$=ln(x) = 4x-2+4$

$=\frac{(\ln(x)+2-4)}{4}$

2. Originally Posted by el123
I have a Function I need to inverse.
Let me know if I have gone wrong somewhere.
$f(x) = e^{(4x-2)} +4$
$y = e^{4x-2} +4$

$x = e^{(4y-2)} +4$

$x-4 = e^{4y-2}$

$\ln(x-4) = 4y-2$

$y = \frac{\ln(x-4) + 2}{4}$