Q12 of 82 Page 126

If p(x) = x + 4, let us write the value of p(x) + p(–x).

We know,

p(x) = x + 4 …(i)


Now, to find p(-x), just replace x by –x in the above expression. Let us do it.


p(-x) = (-x) + 4


⇒ p(-x) = -x + 4 …(ii)


Now, add equations (i) and (ii), we get


p(x) + p(-x) = (x + 4) + (-x + 4)


⇒ p(x) + p(-x) = x + 4 – x + 4


⇒ p(x) + p(-x) = 8


Thus, the values of p(x) + p(-x) = 8


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