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 (4,1) is y = 2x - 7 and the equation of the line tangent to the graph of f at (1,5) is y = 4x+ 1. Calculate h(4) and h'(4). Determine an equation of the line tangent to the graph of h at the point on the graph where x=4.
Show transcribed image textAssume 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 (4,1) is y = 2x - 7 and the equation of the line tangent to the graph of f at (1,5) is y = 4x+ 1. Calculate h(4) and h'(4). Determine an equation of the line tangent to the graph of h at the point on the graph where x=4.