Question

2f(x) + 3f(x - 1) = 5x, then f(x) is?​

Answer 1

4-4+36(+47+4+5+3+&36-&(47+

Answer 2

2f(x)+3f(−x)=x^2−x+1  ----- (i)

putting x=1 we get,

2f(1)+3f(−1)=1  ----- (ii)

putting x=−1 in (i) we get,

2f(−1)+3f(1)=3  ---- (iii)

multiplying (ii) by 2 and (iii) by 3

4f(1)+6f(−1)=2  ---- (iv)

9f(1)+6f(−1)=9  ----  (v)

subtracting (iv) from (v), we get

5f(1)=7

f(1)=7/5