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

advice/help - c3 graph transformations/functions? Watch

    • Thread Starter
    Offline

    7
    ReputationRep:
    Hi, I'm a bit stuck on q b) and c)

    a) express f(x) = 2x+5/x+3 - 1/(x+3)(x+2) as a single fraction in its simplest form, I got: 2x+3/x+2

    b) hence show that f(x)=2-1/x+2 : I don't have a clue how to start answering this question

    c) the curve y=1/x, x>0 is mapped onto the curve f(x) using 3 successive transformations T1, T2, T3, where T1 and T3 are translations

    Describe fully T1, T2, and T3

    Any help/advice would be great thankyou!
    • TSR Support Team
    • Very Important Poster
    • Reporter Team
    • Welcome Squad
    Offline

    19
    ReputationRep:
    (Original post by cesecky)
    Hi, I'm a bit stuck on q b) and c)

    a) express f(x) = 2x+5/x+3 - 1/(x+3)(x+2) as a single fraction in its simplest form, I got: 2x+3/x+2

    b) hence show that f(x)=2-1/x+2 : I don't have a clue how to start answering this question

    c) the curve y=1/x, x>0 is mapped onto the curve f(x) using 3 successive transformations T1, T2, T3, where T1 and T3 are translations

    Describe fully T1, T2, and T3

    Any help/advice would be great thankyou!
    Please use brackets. Otherwise what you've written is confusing.
    Assuming your b part is...hence show that f(x)=2-1/(x+2)

    So you have \frac{2x+3}{x+2}. That's the same as \frac{2x+4-1}{x+2}
    Is that helpful?
 
 
 
  • 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
    What newspaper do you read/prefer?
    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.