Posted by Sarah on Friday, September 24, 2010 at 5:33pm.
I have to find the domain and range for the composite of functions G(x)=sinx and h(x)=x^2x+1. I'm confused about this and would really appreciate some help. Thanks.

Math  MathMate, Friday, September 24, 2010 at 8:36pm
The composite of functions g(x)=sin(x) and h(x)=x²x+1 can be represented by ("g" of "h")
g o h(x)
=g( h(x) )
=sin( h(x) )
=sin(x²x+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  Sarah, Friday, September 24, 2010 at 9:32pm
Thank you!!!

Math  shirley, Thursday, March 29, 2012 at 11:08pm
f(x)=2/x+7,g(x)=28/x