Area bounded between y = f(| x |) and y = 7 - | x | is (A) 23/6 sq. units (B) 11/6 sq. units

Question

Let a function f(x) satisfies the condition f(x+ y) = (f(x) + f(y))/f(x) such that f(0) = 2 and f(x) ≥ 0.

Area bounded between y = f(| x |) and y = 7 - | x | is 

(A) 23/6 sq. units 

(B) 11/6 sq. units 

(C) 86/6 sq. units 

(D) 7 sq. units

Answer 1

Answer is (C) 86/6 sq. units

See Fig.