Assume f and g are differentiable functions with hxfgx Suppo

Assume f and g are differentiable functions with h(x)=f(g(x)). Suppose the equation of the line tangent to the graph of g at the point (5,6) is y=4x-14 and the equation of the line tangent to the graph of f at (6,9) is y=-2x+21.
Calculate h(5) and h\'(5)
Determine an equation of the line tangent to the graph of h at the point on the graph where x=5

h\'=f\'(g)*g\' h\'(5)=4*(-2)=-8 h(5)=6*9=54 y-6=-8(x-5) y+8x=46