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  1. f(x) = A x + B, f(2) = 1 and f(4) = -3.

    f(2) = 1 gives the equation: 1 = 2A + B

    f(4) = -3 gives the equation: -3 = 4A + B

    Solve the system of equations: 1 = 2A + B and -3 = 4A + B to find A = -2 and B = 5

    Hence f(x) = -2x + 5

 
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