Question

Hi, im lost in theses three problems. Please help. Thank you so much!!!

1.
Write the composite function in the form
f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).]
y = 3 squareroot all 1 + 5x
(g(x), f(u)) = ???????
Find the derivative dy/dx.




2.
x f(x) g(x) f '(x) g'(x)
1 3 2 4 6
2 1 3 5 7
3 2 1 7 9

(a) If F(x) = f(f(x)), find F '(3).
F '(3) =

(b) If G(x) = g(g(x)), find G'(2).
G'(2) =




3.
A table of values for f, g, f ', and g' is given.
x f(x) g(x) f '(x) g'(x)
1 3 2 4 6
2 1 8 5 7
3 7 2 7 9
(b) If H(x) = g(f(x)), find H'(1).
H'(1) =