Answer:
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This is a 52% increase.
The answer and the work is attached in the image provided.
If you would like to know what is f(x), you can find this using the following steps:
f(x) = ?
2 * f(x) + f(1-x) = x^2
2 * f(x) = x^2 - f(1-x) /2
f(x) = (x^2 - f(1-x)) / 2
f(x) = x^2 / 2 - f(1-x) / 2
The correct result would be f(x) = x^2 / 2 - f(1-x) / 2.
Let, the original price = x
x = 45 * 125 /100
x = 45 * 1.25
x = 56.25
So, your final answer is $56.25
Hope it helped