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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...
P(x) = x 3 = 0 (because (x 3) is a factor of p(x)) therefore, p(-x) = -(x 3) = 0 = -x -3 =0 therefore,. -x = 3 x =. -3. ---------result 1 therefore, p(-x) = 3. --------------- result 2 now, p(x) p(-x) = x 3 3 = -3 3 3. ( by result 1 & 2) =. -3 6 =. 3
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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 x and -x into the function p(x) = x^3.

Substituting x into the function, we get: p(x) = x^3

Substituting -x into the function, we get: p(-x) = (-x)^3 = -x^3

Therefore, p(x) - p(-x) = x^3 - (-x^3)

Simplifying the expression, we have:

p(x) - p(-x) = x^3 + x^3

Combining like terms, we get:

p(x) - p(-x) = 2x^3

So, the correct answer is d) 2x^3.

Explanation:
- Substituting x and -x into the function p(x) = x^3.
- Simplifying the expression by combining like terms.
- Concluding that p(x) - p(-x) = 2x^3.
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