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
A number, k, is input into function A.

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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:
k−4
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The next operation is to multiply the result by 3:
3(k−4)
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According to the question, the output must also equal k:
3(k−4)=k
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To find k, we can solve the equation:
3k−12=k
3k−k=12
2k=12
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Dividing both sides by 2 yields:
k=6
Therefore, the value of k is 6.
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