Question

Let f : R → R be such that f(x) = 2x then f (x+y) equals

(a) f(x) + f(y) (b) f(x) . f(y) (c) f(x) / f(y) (d) NOTA​

Answer 1

Answer:

A. f(x)+f(y)

Step-by-step explanation:

Given,

f(x)=2x,. .......(i)

Therefore f(y)=2y. .......(ii)

NOW,

To find f(x+y),

f(x)=2x

f(x+y)= 2(x+y)

= 2x+2y

= f(x)+f(y). ......{from (i) & (ii)}

Therefore,

f(x+y)=f(x)+f(y)

HOPE YOU UNDERSTAND IT.

IF YES THEN MARK AS BRAINLIEST