Christmas Streak 41/88: Func(ep)tion

Calculus Level 3

A continuous function f(x)f(x) is defined as follows for some non-zero constants a,a, b,b, and c:c: f(x)={x+afor x<2bf(x2)+cfor x2.f(x)=\cases{\begin{aligned} &x+a &&\text{for }|x|<2\\&bf\Big(\frac{x}{2}\Big)+c &&\text{for }|x|\ge2. \end{aligned}} Find the value of 100a+100b+100c.\frac{100}{a}+\frac{100}{b}+\frac{100}{c}.

×

Problem Loading...

Note Loading...

Set Loading...