Math Problem Statement

If p(x) = x + 3, then p(x) + p(-x) is equal to

Solution

Let's start by addressing the two questions shown in your images:

1. Question 18:

  • Given p(x)=x+3p(x) = x + 3, the task is to find p(x)+p(x)p(x) + p(-x).

Step-by-step Solution:

  • First, find p(x)p(x): p(x)=x+3p(x) = x + 3
  • Now, find p(x)p(-x): p(x)=x+3p(-x) = -x + 3
  • Add p(x)p(x) and p(x)p(-x): p(x)+p(x)=(x+3)+(x+3)p(x) + p(-x) = (x + 3) + (-x + 3) p(x)+p(x)=xx+3+3=6p(x) + p(-x) = x - x + 3 + 3 = 6
  • Therefore, the correct answer is 6 (Option d).

2. Question 23:

  • The equation is ( 7x + y

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions

Formulas

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

Theorems

-

Suitable Grade Level

Grade 9-10