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 (4,7) is y = - 2x + 15 and the equation of the line tangent to the graph of f at (7,6) is y = 3x - 15. 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.
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 (4,7) is y = - 2x + 15 and the equation of the line tangent to the graph of f at (7,6) is y = 3x - 15. 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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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![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 (4,7) is y = - 2x + 15 and the equation of the line tangent to the graph of f at (7,6)
is y = 3x - 15.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25b167f9-3118-479d-a9fb-f8c446c41f1a%2F5db4ce8c-b954-42c4-a0ae-8c09a94cab0b%2Fjpjsjdm_processed.png&w=3840&q=75)
Transcribed Image 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 (4,7) is y = - 2x + 15 and the equation of the line tangent to the graph of f at (7,6)
is y = 3x - 15.
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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