Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Given the functions:

[tex]\( h(x) = x^2 + 1 \)[/tex]
[tex]\( k(x) = x - 2 \)[/tex]

Find [tex]\((h + k)(2)\)[/tex].

Sagot :

GinnyAnswer
To find [tex]\((h + k)(2)\)[/tex], we'll go through the following steps:

1. Evaluate [tex]\( h(x) \)[/tex] at [tex]\( x = 2 \)[/tex]:

First, we need to find [tex]\( h(2) \)[/tex]. The function [tex]\( h(x) \)[/tex] is given by:
[tex]\[ h(x) = x^2 + 1 \][/tex]
Substituting [tex]\( x = 2 \)[/tex] into the function,
[tex]\[ h(2) = 2^2 + 1 = 4 + 1 = 5 \][/tex]

2. Evaluate [tex]\( k(x) \)[/tex] at [tex]\( x = 2 \)[/tex]:

Next, we need to find [tex]\( k(2) \)[/tex]. The function [tex]\( k(x) \)[/tex] is given by:
[tex]\[ k(x) = x - 2 \][/tex]
Substituting [tex]\( x = 2 \)[/tex] into the function,
[tex]\[ k(2) = 2 - 2 = 0 \][/tex]

3. Calculate [tex]\((h + k)(2)\)[/tex]:

The next step is to add the values of [tex]\( h(2) \)[/tex] and [tex]\( k(2) \)[/tex] to find [tex]\((h + k)(2)\)[/tex]:
[tex]\[ (h + k)(2) = h(2) + k(2) \][/tex]
Substituting the values we found,
[tex]\[ (h + k)(2) = 5 + 0 = 5 \][/tex]

So, [tex]\((h + k)(2) = 5\)[/tex].
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.