Question

If f(x+1)-2f(x)+f(x-1)=2 for all x,then-
(A) f(x)=-x (C) f(x)=x to the power 3
(B) f(x)=x (D) f(x)=x to the power 2

Answer 1

If f(x)=tanX then the value of f(x)+f(-x) is equal to
(A) 2tanX (C) infinite
(B) -2tanX (D) 0

Answer 2

for ur first question just plug the given functions from options and see which one satisfies the equation

Answer 3

for second one just note that tan is an odd function