Question

Chain Rule: f(x)=sqrt(x), g(x)=(cos)x what is f(g(x)) and g(f(x)). no need to find the derivative.

Answer 1

wouldn't it be just sqrt(cos)x? for f(g(x))?

Answer 2

yep

Answer 3

what about g(f(x))?

Answer 4

you basically substitute the function in for x

Answer 5

so for that one it should be\[g(f(x))=\cos (\sqrt{x})\]

Answer 6

k thanks!

Answer 7

no problem