Are you smarter than me? 11

Algebra Level 4

Let f ( x ) = x + 1 x − 1 f(x) = \dfrac{x+1}{x-1} for all x ≠ 1 x\ne 1 . Which of the following is a multiple of the expression below?

f 1 ( 2 ) f 2 ( 3 ) f 3 ( 4 ) f 4 ( 5 ) f^1 (2) f^2 (3) f^3 (4) f^4(5)

125 375 250 147

Mehul Chaturvedi by Mehul Chaturvedi , 22, India

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1 solution

f1 (x) = (x+1)/(x-1)

f2(x) = x

f3(x) = (x+1)/(x-1)

f4(x) = x

This repeats..

So f1(2)* f2(3) * f3(4) * f4(5) = 3* 3* (5/ 3) * 5 = 75

So multiple of 75 is 375 which is the right choice.

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