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 (3,5) is y = - 4x+ 17 and the equation of the line tangent to...


Solve part A and part B in the image attached



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 (3,5) is y = - 4x+ 17 and the<br>equation of the line tangent to the graph of f at (5,6) is y = 3x- 9.<br>a. Calculate h(3) and h'(3).<br>b. Determine an equation of the line tangent to the graph of h at the point on the graph where x = 3.<br>

Extracted text: 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 (3,5) is y = - 4x+ 17 and the equation of the line tangent to the graph of f at (5,6) is y = 3x- 9. a. Calculate h(3) and h'(3). b. Determine an equation of the line tangent to the graph of h at the point on the graph where x = 3.

Jun 05, 2022
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