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Solution


Q.

Let f be a function such that f(x)+3f(24x)=4x, x≠0. Then f(3) + f(8) is equal to          [2025]
1 13  
2 12  
3 10  
4 11  

Ans.

(4)

We have, f(x)+3f(24x)=4x

Put x = 3, f(3) + 3f(8) = 12          ... (i)

Put x = 8, f(8) + 3f(3) = 32          ... (ii)

Adding (i) and (ii), we get f(3) + f(8) = 11.