Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

11. If [tex][tex]$p(x) = x + 3$[/tex][/tex], then find the value of [tex][tex]$p(x) + p(-x)$[/tex][/tex].

Sagot :

GinnyAnswer
To find the value of [tex]\( p(x) + p(-x) \)[/tex] given that [tex]\( p(x) = x + 3 \)[/tex], we will follow these steps:

1. Determine [tex]\( p(x) \)[/tex]:
The function [tex]\( p(x) \)[/tex] is defined as:
[tex]\[ p(x) = x + 3 \][/tex]

2. Determine [tex]\( p(-x) \)[/tex]:
Now, we need to find the value of the function when the input is [tex]\(-x\)[/tex]:
[tex]\[ p(-x) = -x + 3 \][/tex]

3. Calculate [tex]\( p(x) + p(-x) \)[/tex]:
We add [tex]\( p(x) \)[/tex] and [tex]\( p(-x) \)[/tex]:
[tex]\[ p(x) + p(-x) = (x + 3) + (-x + 3) \][/tex]
Simplifying this expression:
[tex]\[ p(x) + p(-x) = x + 3 - x + 3 = 6 \][/tex]

Therefore, the value of [tex]\( p(x) + p(-x) \)[/tex] is [tex]\(\boxed{6}\)[/tex].
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.