1. Let f(x) = x3 + 3. a) Graph the given function and its inverse, g(x),...

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1. Let f(x) = x3 + 3. a) Graph the given function and its inverse, g(x), on the same coordinate plane. b) Determine the value of f'(1) and g'(4). 2. Use Desmos or your graphing calculator to determine the equation of the tangent line to the function f(x) = arcsin (2) at x = 0. 3. The graph of f'(x) is given. Give a rough sketch of the original function. y 10- 5+ -5 0 5 -5+ -10- 1. Let f(x) = x3 + 3. a) Graph the given function and its inverse, g(x), on the same coordinate plane. b) Determine the value of f'(1) and g'(4). 2. Use Desmos or your graphing calculator to determine the equation of the tangent line to the function f(x) = arcsin (2) at x = 0. 3. The graph of f'(x) is given. Give a rough sketch of the original function. y 10- 5+ -5 0 5 -5+ -10-