# Quantitative Aptitude – Algebra – Functions – Let f(x)=max{5x, 52-2x^2} ## Slot -2 – Quantitative Aptitude – Algebra – Functions – Let f(x)=max{5x, 52-2x^2}

Let f(x)=max{5x, 52-2x^2}, where x is any positive real number. Then the minimum possible value of f(x) is?

Solution:
For f(x) to be minimum , 5 = 52 − 2^2
2^2+5 −52 =0
−42+13=0
= 4
Thus minimum value of f(x) = 5x = 5*4 = 20

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