Assume f and g are differentiable on their domains with h(x) = f(g(x)). Suppose the equation of

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Assume f and g are differentiable on their domains with h(x) = f(g(x)). Suppose the equation of the line tangent to the graph of g at the point (4, 7) is y = 3x - 5 and the equation of the line tangent to the graph of f at (7, 9) is y = -2x + 23.

a. Calculate h(4) and h'(4).

b. Determine an equation of the line tangent to the graph of h at the point on the graph where x = 4.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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