AP EAMCET · Maths · Functions
Given the function then is equal to
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given that, f(x)=ax+a-x2, a>2 ....(i) ⇒fx+y=ax+y+a-x+y2 and fx-y=ax-y+a-(x-y)2 Now, f(x+y)+f(x-y)=ax+y+a-x-y2+ax-y+a-x+y2 =ayax+a-x2+a-yax+a-x2 =ay·f(x)+a-y·f(x) [from (i)] =2·f(x)·ay+a-y2 =2·f(x)·f(y)
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