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Thread: i need some help in functions

  1. #1
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    i need some help in functions

    Q: A function f(x)= 3-2sinx, for 0<x<360 degree.
    1. find the range of F.

    A function g is defined by g(x)=3-2sinx for 0<x<A degree, where A is a constant.
    • state the largest value of A for which g has an inverse.
    • When A has this value, obtain an expression, in terms of x, for g-1(x).

    I don't have an awnser for this and can not solve this question. I need some help please.
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  2. #2
    MHF Contributor

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    Re: i need some help in functions

    What do you know about the function f(x)= sin(x)? What are its largest and smallest values? What are the largest and smallest values of 2sin(x)? And what are the largest and smallest values of 3- 2sin(x)?

    A function "has an inverse" as long as it is "one to one"- in other words, as long as there are NOT two numbers, x and y, such that f(x)= f(y). What is the period of sin(x)? So what is the period of g(x)?
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