IGCSE/GCSE/O & A Level/IB/University Student Forum

Qualification => Subject Doubts => GCE AS & A2 Level => Math => Topic started by: Dania on October 06, 2010, 09:55:24 pm

Title: Functions Question
Post by: Dania on October 06, 2010, 09:55:24 pm

A function is defined by  g:x = 3-2sinx, for 0° < x < A°, where A is a constant.

Q. (i) State the largest value of A of which g has an inverse.
    (ii) When A has this value, obtain an expression, in terms of x, for g^-1(x)

Title: Re: Functions Question
Post by: Freaked12 on October 06, 2010, 10:15:31 pm

https://studentforums.biz/math-146/cie-math-p1-10369/msg350650/#msg350650

Its already done

Title: Re: Functions Question
Post by: Dania on October 06, 2010, 10:21:29 pm

Grr. Still don't get it. By the way, this is a different paper. Same concept, I know. But it's just stated in that link you gave me, I want someone to explain to me how to get it.

Title: Re: Functions Question
Post by: Freaked12 on October 06, 2010, 10:31:45 pm

Which subject do you want help in

Its not Pure mathematics?

Title: Re: Functions Question
Post by: Dania on October 06, 2010, 10:33:57 pm

It's just this question I posted. Yeah, it is pure maths.

Title: Re: Functions Question
Post by: Freaked12 on October 06, 2010, 10:52:53 pm

A function f is one-to-one if it never happens that a is not equal to  b, but f(a) = f(b). Equivalently, one-to-one functions are those functions whose graphs pass the horizontal line test: every horizontal line passes through at most one point of its graph.

So by looking at the graph the largest value through which the horizontal line passes through is 3/2 pie

Title: Re: Functions Question
Post by: Freaked12 on October 06, 2010, 11:09:56 pm

and the last part is already done

and he explained it quite clearly.


Specify what you are not getting?