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23 September, 08:34

For any linear function f (x) = mx+b, when does 5f (x) = f (5x) + 5?

A: When b = 0 B: when b = 5/4

C: When b = 5 D: always

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Answers (1)
  1. 23 September, 09:57
    0
    Step-by-step explanation:

    f (x) = m x+b

    5 f (x) = 5 (m x+b) = 5 m x+5 b

    f (5x) + 5=5 m x+b

    as 5 f (x) = f (5x) + 5

    5 m x+5 b=5 mx + b + 5

    5b = b+5

    4 b=5

    b=5/4
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