Hey there! Sign in to join this conversationNew here? Join for free

C3- domain, range and inverse functions Watch

Announcements
    • Thread Starter
    Offline

    5
    ReputationRep:
    Hi,

    I'm struggling with the domain and range for some more complicated functions. I've been doing them by looking at the graph but I don't know how to do it without one.

    1. (e^x)^1/2
    2. (2x^1/2) +1
    3. e^2x+1
    4. Inverse e^x
    5. Inverse 2x+1

    And how to find the inverse function of a trigonometric function e.g. 2cos^-1 (x-1).

    Thanks
    • Community Assistant
    • Welcome Squad
    Offline

    19
    ReputationRep:
    (Original post by VioletPhillippo)
    Hi,

    I'm struggling with the domain and range for some more complicated functions. I've been doing them by looking at the graph but I don't know how to do it without one.

    1. (e^x)^1/2
    2. (2x^1/2) +1
    3. e^2x+1
    4. Inverse e^x
    5. Inverse 2x+1

    And how to find the inverse function of a trigonometric function e.g. 2cos^-1 (x-1).

    Thanks
    The first 3 are just transformations of e^x so the range and domain are effected by these same transformations.

    Inverse of e^x is \ln(x) and you learn this in the module, the range and domain swap.

    Domain is the range, and the range is domain for the inverses. They swap.

    You learn trig ones in the module as well.
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    Break up or unrequited love?
    Useful resources

    Make your revision easier

    Maths

    Maths Forum posting guidelines

    Not sure where to post? Read the updated guidelines here

    Equations

    How to use LaTex

    Writing equations the easy way

    Student revising

    Study habits of A* students

    Top tips from students who have already aced their exams

    Study Planner

    Create your own Study Planner

    Never miss a deadline again

    Polling station sign

    Thinking about a maths degree?

    Chat with other maths applicants

    Can you help? Study help unanswered threads

    Groups associated with this forum:

    View associated groups
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

    Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

    Quick reply
    Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.