Question

If(x)= 2e^x-1 +3 , what is f^-1 (x)

Answer 1

f^-1 (x) = 1+ln( (x-3)/2)

Explanation:

hello :

let f(x) = y so : y = 2e^(x-1) +3

calculate x : e^(x-1) = (y-3)/2

for : y-3 > 0 : x-1 = ln( (y-3)/2) so : x= 1+ln( (y-3)/2)

If(x)= 2e^(x-1) +3 , what is f^-1 (x) = 1+ln( (x-3)/2)