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    the function f is defined by

    f(x) = x^2 - 4x + 7 for x>2

    i) express f(x) in the form of (x-a)^2 + b and hence state the range of f

    ii) obtain an expression for f^-1(x) and state the domain of f^-1.

    the fuction g is defined by g(x) = x - 2 for x > 2

    the function h is such that f = hg and the domain of h is x > 0

    iii) obtain an expression for h(x)

    AS MATHS.
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    (Original post by dumbo576)
    the function f is defined by

    f(x) = x^2 - 4x + 7 for x>2

    i) express f(x) in the form of (x-a)^2 + b and hence state the range of f

    ii) obtain an expression for f^-1(x) and state the domain of f^-1.

    the fuction g is defined by g(x) = x - 2 for x > 2

    the function h is such that f = hg and the domain of h is x > 0

    iii) obtain an expression for h(x)

    AS MATHS.
    What exactly are you having trouble with? What working do you have at the moment?
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    i want a step by step answer and explanations, i know most of the answers, just not sure how to get them.. i've tried to look over text books and such but its just not getting into my head.

    please.

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    Alright for the first part complete the square, it's pretty standard. The range should be pretty obvious from that, if you remember that anything squared is > 0.

    For the second part this is a standard functions question, there should be examples in your book, and your teacher should really have taught that to you...

    For the third part, start by finding the inverse of g and go from there. I'm not doing all your homework for you :rolleyes:
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    (Original post by cant_think_of_name)
    Alright for the first part complete the square, it's pretty standard. The range should be pretty obvious from that, if you remember that anything squared is > 0.

    For the second part this is a standard functions question, there should be examples in your book, and your teacher should really have taught that to you...

    For the third part, start by finding the inverse of g and go from there. I'm not doing all your homework for you :rolleyes:
    cheers mate.
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    ii) obtain an expression for f^-1(x) and state the domain of f^-1.

    not sure how to inverse f(x)= (x-2)^2+3
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    let y = f(x) and then solve for x. Rearrange dat equation
 
 
 
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