Browse · MATH Print → jmc algebra intermediate Problem Let e(x) be an even function and let o(x) be an odd function, such that e(x)+x2=o(x)for all x. Let f(x)=e(x)+o(x). Find f(2). Solution — click to reveal Setting x=−2, we get e(−2)+4=o(−2).Since e(x) is even and o(x) is odd, e(−2)=e(2) and o(−2)=−o(2), so e(2)+4=−o(2).Then f(2)=e(2)+o(2)=−4. Final answer -4 ← Previous problem Next problem →