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Here is function A - OCR - GCSE Maths - Question 9 - 2019 - Paper 4
Question 9
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.
Answer
To solve for the value of k, we need to analyze the function A:
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The first operation is to subtract 4 from the input k:
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The next operation is to multiply the result by 3:
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According to the question, the output must also equal k:
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To find k, we can solve the equation:
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Distribute the 3:
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Rearranging gives:
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Thus, we have:
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Dividing both sides by 2 yields:
Therefore, the value of k is 6.