if f(x)and g(x) are two functons with all real no.s as their domain, then h(x)= (f(x)+ f(-x))(g(x) - g(-x))..is...
i) always an odd function
ii) an odd function when both the f and g are odd
iii) an odd function when f is even and g is odd
iv) none of these.
-
UP 0 DOWN 0 0 4
4 Answers
62always odd..
bcos h(x)= (f(x)+ f(-x))(g(x) - g(-x))
h(-x)= (f(-x)+ f(x))(g(-x) - g(x))
= h(-x)= - (f(-x)+ f(x))(-g(-x) g(x)) = - h(x)
so always odd!
1ohh!
this was rather simple.....thank you...
y i thot so much on this dunno!!