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If p(x) = x + 3, then p(x) + p(-x) is equal to
  • a)
    0
  • b)
    3
  • c)
    6
  • d)
    2x
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If p(x) = x + 3, then p(x) + p(-x) is equal toa)0b)3c)6d)2xCorrect ans...
we have , p(x) = x+3.........(1) Replacing x by -x ,we get p(-x)= -x+3 ............(2) adding the corresponding sides of (1)and (2),we get p(x)+p(-x) = 6
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Community Answer
If p(x) = x + 3, then p(x) + p(-x) is equal toa)0b)3c)6d)2xCorrect ans...
To find the value of p(x) - p(-x), we need to substitute the given function p(x) = x^3 into both p(x) and p(-x) and then subtract the two expressions.

Substituting x into p(x):
p(x) = x^3

Substituting -x into p(x):
p(-x) = (-x)^3 = -x^3

Now, subtracting p(-x) from p(x):
p(x) - p(-x) = x^3 - (-x^3)

Using the rule of subtracting negative numbers:
p(x) - p(-x) = x^3 + x^3

Combining like terms:
p(x) - p(-x) = 2x^3

So, the expression p(x) - p(-x) is equal to 2x^3.
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