Question

let f and g be differentiable functions such that f(3)=5, g(3)=7, f'(3)=6, f'(7)=-4, g'(3)=-3 g'(5)=2. if h(x)=f[g(x)] the h'(3)=

Answer 1

So?

Answer 2

If you know h(x)=f[g(x)], then you can use the chain rule to find h'(x)

Answer 3

the other part of your question for some reason did appear lol
OP got crazy

Answer 4

yes like @jim_thompson5910 said take h'(x) using Chain Rule

Answer 5

h'(x)=g'(x).f'(g(x))

Answer 6

that's Chain Rule! not find h'(3)
you have everything you need

Answer 7

so h'(3)=(-3)(6)(7)

Answer 8

h'(x)=g'(x).f'(g(x))

h'(3)=g'(3).f'(g(3)) .. replace every x with 3

What is g(3) equal to?

Answer 9

-3

Answer 10

no you're confusing g'(3) with g(3)