Q.

Which of the following is an even function

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a

f(x)=ax+a−xax−a−x

b

f(x)=ax+1ax−1

c

f(x)=xax−1ax+1

d

f(x)=log2x+x2+1

answer is C.

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Detailed Solution

Check f(-x)=f(x)Verify that the options are even and oddf(x)=x (ax-1)ax+1 f(-x)=-x(a-x-1)a-x+1         =x (ax-1)ax+1=f(x)f is even function
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Which of the following is an even function