Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Given the functions [tex]\( f(x) = 8x \)[/tex] and [tex]\( g(x) = x - 4 \)[/tex], find [tex]\( f(g(x)) \)[/tex].

[tex]\( f(g(x)) = 8(x - 4) \)[/tex]

Simplify the expression:

[tex]\( f(g(x)) = 8x - 32 \)[/tex]

Sagot :

GinnyAnswer
To find [tex]\( f(g(x)) \)[/tex], we'll substitute the function [tex]\( g(x) \)[/tex] into the function [tex]\( f(x) \)[/tex]. Let's work through the problem step-by-step:

1. Given Functions:
[tex]\[ f(x) = 8x \][/tex]
[tex]\[ g(x) = x - 4 \][/tex]

2. Find [tex]\( f(g(x)) \)[/tex]:

This means we need to substitute [tex]\( g(x) \)[/tex] into [tex]\( f(x) \)[/tex].

3. Substitute [tex]\( g(x) = x - 4 \)[/tex] into [tex]\( f(x) \)[/tex]:
[tex]\[ f(g(x)) = f(x - 4) \][/tex]

4. Evaluate [tex]\( f(x - 4) \)[/tex]:
[tex]\[ f(x - 4) = 8(x - 4) \][/tex]

5. Distribute the 8:
[tex]\[ 8(x - 4) = 8x - 32 \][/tex]

Therefore, the composition of the functions [tex]\( f \)[/tex] and [tex]\( g \)[/tex], denoted [tex]\( f(g(x)) \)[/tex], is:
[tex]\[ f(g(x)) = 8x - 32 \][/tex]

So the final answer is:
[tex]\[ 8x - 32 \][/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.