Question

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

Answer 1

Answer:

f^-1 (x) =  1+ln( (x-3)/2)

Step-by-step 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)