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Question

Mathematics Question on Relations and functions

The graph of the function y=f(x)y = f(x) is symmetrical about the line x=2x = 2, then

A

f(x+2)=f(x2)f (x + 2) =f (x-2)

B

f(2+x)=f(2x)f (2 + x )= f (2 -x )

C

f(x)=f(x)f (x ) = f ( - x)

D

f(x)=f(x)f (x) = -f (-x)

Answer

f(2+x)=f(2x)f (2 + x )= f (2 -x )

Explanation

Solution

Since graph is symmetrical about the line x=2x = 2 f(2+x)=f(2x)\therefore \:\: f(2 + x) = f(2 - x).