For which of the following functions does f(x)=f(2-x)?
Answer choice C seems to work out if we plug in 1 for x. Did I do something wrong or must the function be true for all values? C does not work for a value of x=4?
f(x)= 2-(2-x).....>2-(2-1).....>2-(1) = 1
in all the option just put 2-x in place of x
A. f(x)=x+2===>f(2-x)=2-x+2=4-x==>not equal
C. f(x)=2-x===>f(2-x)=2-(2-x)=x===>not equal
D. f(x)=(2-x)^2===>f(2-x)=(2-2+x)^2=x^2===>not equal
E. f(x)=x^2===>f(2-x)=(2-x)^2===>not equal
hence only B satisfies.
dont plug in this
hope it helps.
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