Question

Ok, so here's my question: Consider the family of functions defined by f sub b (x) = (x + b)/(x^2 + 2b + 1). Show that the absolute maximum value of f sub b is the same for all positive values of b. How do I do this?

Answer 1

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Answer 2

essentially the numerator is greator than denominator and hence the absolute maximum value will exist. now u differentiate and put f'(x)=0 u'll get an expression for x, now substitue this value back in f(x) u'll find that the expression is independant of the b-value and hence...