Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

If [tex]\( h(x) = 6 - x \)[/tex], what is the value of [tex]\( (h \circ h)(10) \)[/tex]?

A. [tex]\(-4\)[/tex]
B. [tex]\(-2\)[/tex]
C. 10
D. 16

Sagot :

GinnyAnswer
To find the value of [tex]\((h \circ h)(10)\)[/tex] where [tex]\(h(x) = 6 - x\)[/tex], we perform the following steps:

1. Evaluate [tex]\(h(10)\)[/tex]:
[tex]\[ h(10) = 6 - 10 \][/tex]
[tex]\[ h(10) = -4 \][/tex]

2. Evaluate [tex]\(h(h(10))\)[/tex]:
First, we need to recognize that [tex]\(h(h(10))\)[/tex] means we are applying the function [tex]\(h\)[/tex] to the result of [tex]\(h(10)\)[/tex], which we found to be [tex]\(-4\)[/tex].
[tex]\[ h(h(10)) = h(-4) \][/tex]
Now we evaluate [tex]\(h(-4)\)[/tex]:
[tex]\[ h(-4) = 6 - (-4) \][/tex]
[tex]\[ h(-4) = 6 + 4 \][/tex]
[tex]\[ h(-4) = 10 \][/tex]

Therefore, the value of [tex]\((h \circ h)(10)\)[/tex] is:
[tex]\[ \boxed{10} \][/tex]
carrillochino97
35 3/4 don’t worry I’m like that trust
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.