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    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!
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    (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?
 
 
 
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