chain rule!!!!

Let f(x) = x^3 + 6 x and g(x) = x^2 + 5.

Then g(f(x)) = x^A + B x^C + D x^2 + E

they want me to find a,b,c,d,e

Question

chain rule!!!!

Let f(x) = x^3 + 6 x and g(x) = x^2 + 5.

Then g(f(x)) = x^A + B x^C + D x^2 + E

they want me to find a,b,c,d,e

anonymous · Answer

i think i use the chain rule?

zarkon · Answer

the chain rule is used in calculus...you don't need calculus here

anonymous · Answer

wait so all i need to do is FOIL?

zarkon · Answer

do the composition and multiply it out

anonymous · Answer

what is FOIL? Anw they wnat to find g(f(x)) So which means you will substite x= f(x) into g(x)

g(f(x))= (x^3+6x)^2 +5
= x^6 +12 x^4 + 36x^2 +5

anonymous · Answer

then i just use the chain rule?

anonymous · Answer

this is applied calculus so it would have to bethe chain rule

zarkon · Answer

calculus is not needed for this problem.

anonymous · Answer

I agree, this is just a function problem.

zarkon · Answer

you might want to look up what the chain rule is