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Here is function A - OCR - GCSE Maths - Question 9 - 2019 - Paper 4

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Question 9

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Here is function A. Function A : input → −4 → ×3 → output a) A number, k, is input into function A. The output is also k. Find the value of k.

Worked Solution & Example Answer:Here is function A - OCR - GCSE Maths - Question 9 - 2019 - Paper 4

Step 1

A number, k, is input into function A.

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Answer

To solve for the value of k, we need to analyze the function A:

  1. The first operation is to subtract 4 from the input k:

    k4k - 4

  2. The next operation is to multiply the result by 3:

    3(k4)3(k - 4)

  3. According to the question, the output must also equal k:

    3(k4)=k3(k - 4) = k

  4. To find k, we can solve the equation:

    • Distribute the 3:

    3k12=k3k - 12 = k

    • Rearranging gives:

    3kk=123k - k = 12

    • Thus, we have:

    2k=122k = 12

  5. Dividing both sides by 2 yields:

    k=6k = 6

Therefore, the value of k is 6.

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