If f (x) satisfies 2F (x) - f (- x) = LG (x + 1), X belongs to the problem of (- 1.1) finding f (x)... Finding the analytic formula of function
2f(x)-f(-x)=lg(x+1).(1)
2f(-x)-f(x)=lg(-x+1).(2)
If 2 × (1) + (2), 3f (x) = 2lg (x + 1) + LG (- x + 1) = LG [(1 + x) & # 178; (1-x)]
So f (x) = (1 / 3) LG [(1 + x) 178; (1-x)]
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