Question: Assume f is a differentiable function whose graph passes through the point (1, 4). Suppose g(x) = f(x 2 ) and the line tangent to

Assume f is a differentiable function whose graph passes through the point (1, 4). Suppose g(x) = f(x²) and the line tangent to the graph of f at (1, 4) is y = 3x + 1. Determine each of the following.

a. g(1)

b. g'(x)

c. g'(1)

d. An equation of the line tangent to the graph of g when x = 1

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