Find the F inverse of 6 for a combined function - Algebraically

Jan 2018
9
0
GTA
Hello,

I am stuck with this problem. I can see that the answer is "1" in the graphing calculator but not able to find it algebraically.

Find F-1(6) for F(x)= ex-1+ 2lnx + 5x

Any help will be appreciated.
 
Dec 2014
130
101
USA
The inverse of this function cannot be found using elementary algebraic methods ... one has to notice by observation that $f(1)=6 \implies f^{-1}(6)=1$, or use technology as you did.
 
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Jan 2018
9
0
GTA
Thank you so much for your help. Appreciate.