The function f is defined by f (x) = e ^(x+2), where x is any real number. Find f ^-1(x) and state its domain.

y=ex+2 , we want to make x the subject, x+2=ln(y), x=ln(y)-2, now that x is the subject, the inverse of the function can be found by swapping the x and the y. Therefore the inverse function is y=ln(x)+2, therefore f-1(x)= ln(x) +2

JC
Answered by Jacob C. Maths tutor

3727 Views

See similar Maths 11 Plus tutors

Related Maths 11 Plus answers

All answers ▸

Which places do these point to? Write the answer in English


When a fifth of the class is absent, there are 24 pupils present. What is the total number of pupils in the class?


Calculate, giving the answer as simply as possible, 7/12 + 1/12


If one side of rectangle is 2 times longer than other one and the area of that rectangle is 32, what is the length of shorter side?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning