The function h(x) is f(g(x))

Question

We are given f(2)=4. g(4)=5. f'(2)=3. g'(4)=2.?

What is the equation in slope intercept form of the tangent line to h when x=2?

Answer 1

Given function  h(x) = f(g(x)) .

Slope of tangent line at x = 2 is h'(2) .

h'(x) = f '(g(x)) [g'(x)]

h'(2) = f '(g(2)) [g'(2)]

To evaluate the slope of tangent to h(x) , the values of g(2) and g'(2) are needed . 

Please provide the g(2) and g'(2) .