Question

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.

Answer 1

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.

Answer 2

Thank you!!!

Answer 3

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