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Problem

The following table lists the value of functions f and g, and of their derivatives, f, prime and g, prime, for x, equals, 1.
xspace, f, left parenthesis, x, right parenthesisspace, g, left parenthesis, x, right parenthesisspace, f, prime, left parenthesis, x, right parenthesisspace, g, prime, left parenthesis, x, right parenthesis
1minus, 1minus, 1804
Let function G be defined as G, left parenthesis, x, right parenthesis, equals, minus, 4, f, left parenthesis, x, right parenthesis, plus, 3, g, left parenthesis, x, right parenthesis, minus, 2.
G, prime, left parenthesis, 1, right parenthesis, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
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