chrisparr
Oct22-09, 07:56 PM
1. The problem statement, all variables and given/known data
Let f(x)=x+2e(x). Find the inverse of f(x).
2. Relevant equations
e(a+b)=e(a)*e(b)
e(a-b)=e(a)/e(b)
ln(ab)=ln(a)+ln(b)
ln(a/b)=ln(a)-ln(b)
ln(a^b)=bln(a)
3. The attempt at a solution
Switch y and x so that
x=y+2e(y)
I tried applying ln to the functions at the start, subtracting y and then applying ln, applying ^2 to both sides but nothing seems to come of it. Any first suggestions?
Let f(x)=x+2e(x). Find the inverse of f(x).
2. Relevant equations
e(a+b)=e(a)*e(b)
e(a-b)=e(a)/e(b)
ln(ab)=ln(a)+ln(b)
ln(a/b)=ln(a)-ln(b)
ln(a^b)=bln(a)
3. The attempt at a solution
Switch y and x so that
x=y+2e(y)
I tried applying ln to the functions at the start, subtracting y and then applying ln, applying ^2 to both sides but nothing seems to come of it. Any first suggestions?