Find f(g(x))

If g(x) = 2x^2 + 4 and

f(x)= x-2/4

Question

Find f(g(x))

If g(x) = 2x^2 + 4 and


f(x)= x-2/4

anonymous · Answer

I'm in calculus and I'm learning this right now too.  You have to use chain rule, which means first you take the derivative of g(x) and then multiple by the derivative of f(x).  Would you like me to show you?

anonymous · Answer

yes!

anonymous · Answer

hold on one second, I'll work it out on paper and then type it for you

anonymous · Answer

is that x minuts two all over four?

anonymous · Answer

yep over 4

anonymous · Answer

the first step is to use the quotient rule, would you like me to explain that?

anonymous · Answer

Yes

anonymous · Answer

so my teacher taught us a catchy phrase to remember quotient rule, it's... (d means derivative).  low is the numerator and high is the denomanator
low*d high minus high*d low all over low squared and there you go.  in this case that would mean you take the quotient rule of f(x)...
4*1-(x-2)0 all over 4^2

anonymous · Answer

this would give you zero, so I'm not sure if that would be correct, because then you are supposed to insert g(x) in all the places there is an x and multiple by the derivative of g(x).  this would mean the whole answer is 0, but that sounds like it may not be correct