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14 May, 07:12

F (X) = 2x^2 + 1. Find and simplify af (X) + b and f (ax+b)

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  1. 14 May, 08:06
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    Hello,

    f (x) = 2x²+1

    f (ax+b) = 2 (ax+b) ²+1=2 (a²x²+2abx+b²) + 1=2a²x²+4abx+2b²+1

    af (x) + b=a (2x²+1) + b=2ax²+a+b

    And f (ax+b) ≠af (x) + b not linear
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