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# help with maths please.. Watch

1. 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.
2. (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?
3. 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.

4. 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
5. (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
cheers mate.
6. 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
7. let y = f(x) and then solve for x. Rearrange dat equation

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Updated: April 7, 2013
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