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Explanation & Answer
f(x) = x^2 - 4x
A.R.C = f(b) - f(a) / b - a
x = 3 = a x = 5 = b
f(b) = b^2 - 4b ==========> f(5) = 5^2 - 4(5) = 25 - 20 = 5
f(a) = a^2 - 4a ==========> f(3) = 3^2 - 4(3) = 9 - 12 = - 3
Now
A.R.C = f(b) - f(a) / b - a
= 5 - (- 3) / 5 - 3
= 5 + 3 / 2
= 8 / 2
= 4
Hence A.R.C = 4
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