Q:

given g(x)=sqrt x-4 and h(x)=2x-8 what is (g(h(10)) HELP ME I AM .3 POINTS AWAY FROM PASSING.

Accepted Solution

A:
The answer (g(x))=x−7g(f(x))=√x2−7Explanation:Put g inside f to find f(g(x))f(x)=x2−4g(x)=√x−3f(g(x))=(√x−3)2−4f(g(x))=x−3−4f(g(x))=x−7Put f inside g to find g(f(x))g(x)=√x−3f(x)=x2−4g(f(x))=√x2−4−3g(f(x))=√x2−7:The answers are f(g(x))=x−7 
and g(f(x))=√x2−7Explanation:This is a composition of functions.f(x)=x2−4g(x)=√x−3fog(x)=f(g(x))=f(√x−3)=(√x−3)2−4=x−3−4=x−7Andgof(x)=g(f(x))=g(x2−4)=√(x2−4)−3=√x2−4−3=√x2−7You can see thatf(g(x))≠g(f(x))