An algebra problem about functions

Algebra Level 2

If f ( 4 x − 1 ) = x f(4x-1) = x , what is f ( 2 ) + f ( 4 ) + f ( 6 ) + f ( 8 ) f(2) + f(4) + f(6) + f(8) ?


The answer is 6.

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Vijay Simha by Vijay Simha , 47, USA

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2 solutions

Betty BellaItalia
Apr 17, 2017

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Vijay Simha
Feb 9, 2017

The easiest way to find f(2) is to equate 4x - 1 = 2 and solve for x

This gives f(2) = 3/4 Similarly, f(4) = 5/4, f(6) = 7/4 and f(8) = 9/4

Adding, we see that f(2) + f(4) + f(6) + f(8 = 6/

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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