P1,functions

[thecandydoll]

10 The function f is defined by f : x  ? 2x2 ? 12x + 13 for 0 ? x ? A, where A is a constant.
(i) Express f(x) in the form a(x + b)2 + c, where a, b and c are constants. [3]
(ii) State the value of A for which the graph of y = f(x) has a line of symmetry. [1]
(iii) When A has this value, find the range of f. [2]
The function g is defined by g : x  ? 2x2 ? 12x + 13 for x ? 4.
(iv) Explain why g has an inverse. [1]
(v) Obtain an expression, in terms of x, for g?1(x).

Could you also find the range and domain for g?
With explanation.I really don't get it thanks a lot
X

[~ A.F ~]

what's the "?" in your righting

[astarmathsandphysics]

There are notes for this on my website. Unfortunately i have been called into central london again.

[dlehddud]

I don't get what you mean by the '?' 

[thecandydoll]

it is supposed to be inverse.
typo.
sorryy.
can you help me?

[simba]

excuse me guyz, but I want to know how to get the range when he asks me in the question???

plz reply URGENT

[astarmathsandphysics]

10 The function f is defined by f : x  ? 2x2 ? 12x + 13 for 0 ? x ? A, where A is a constant.
(i) Express f(x) in the form a(x + b)2 + c, where a, b and c are constants. [3]
(ii) State the value of A for which the graph of y = f(x) has a line of symmetry. [1]
(iii) When A has this value, find the range of f. [2]
The function g is defined by g : x  ? 2x2 ? 12x + 13 for x ? 4.
(iv) Explain why g has an inverse. [1]
(v) Obtain an expression, in terms of x, for g?1(x).

I will assume

line of symmetry at x=-6
range is since

g has an inversrse because there is only one g(x) for every value of x


see http://www.astarmathsandphysics.com/a_level_maths_notes/C3/a_level_maths_notes_c3_inverting_functions.html