Math

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I have to find the domain and range for the composite of functions G(x)=sinx and h(x)=x^2-x+1. I'm confused about this and would really appreciate some help. Thanks.

  • Math -

    The composite of functions g(x)=sin(x) and h(x)=x²-x+1 can be represented by ("g" of "h")
    g o h(x)
    =g( h(x) )
    =sin( h(x) )
    =sin(x²-x+1)

    The domain is limited by h(x) and g(x).
    Since the domain of both h(x) and g(x) is ℝ, the domain of g o h(x) is also ℝ.
    I will leave it to you to find the range.

  • Math -

    Thank you!!!

  • Math -

    f(x)=2/x+7,g(x)=28/x

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