f(x) = 4x + 7, g(x) = 3x2
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Find (fg)(x). (4 points)
Find (f + g)(x). (4 points)
Describe how the graph of y = x2 can be transformed to the graph of the given equation.
y = (x – 10)2 + 8 (4 points)
Describe how to transform the graph of f into the graph of g.
f(x) = x2 and g(x) = -(-x)2 (4 points)
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
f(x) = 4 cos x; g(x) = cos x (4 points)
6. A box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each corner and bending up the sides. What is the maximum volume this box could have? (Round your answer to two decimal places.)