Question

Hi,

Can you help me with this one? Thanks?

CIUI. U LUS de LE SUSTASUL. EL SALE UUTTUIUJ- Uin U2+U, NU 4. Let U = {fe P3 f(-r) + f(x) = 0 for every r}. Prove or disprove. (a) Ps= U P2 (b) Ps= U + P1 Lot n-1-2-10121 II Ful l - for a consider

Answer 1

I have simply used the definition of direct sum and ordinary sum of two sets.

hence hy is not regular U=&f Ep. I f(-x) + f(1) = 0 &xy Pg= UOP Since we know that if V = VOV > V, UV₂ = v @ aw and V, n V₂ =¢ 6 f(x) = x E Pg sit. f(-2) + fee) = -2tazo & fo EU and free) e P2 a fe) E UnP & P ₂ 7 DOP₂ Pg= U+ P4 This is also false, as x² + x² EP3 but any flow & U and groupe Pg sit. 2+v' = fou + g(0) as haver x² & U and 2² & PL EDBAC SUGGEST 760, Anna Salai, Chennai. BOU VUE. classmateic.in (18004253242 Per Size : 29.7 x 21 cm MRP Rs. 60.00 gigo 2 519601012 cm Inclusive of all taxes Type of Ruling: Single Line A quality product marketed by Classmate uses eco-friendly and le nental chlorine free paper O Scan with your D smartphone.