Join the IDNLearn.com community and get your questions answered by experts. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.
Given the table with selected values of [tex]\( f(x) \)[/tex] and [tex]\( g(x) \)[/tex], evaluate [tex]\( f(g(4)) \)[/tex]:
To evaluate [tex]\( f(g(4)) \)[/tex] using the given table, follow these steps:
1. Identify the value of [tex]\( g(4) \)[/tex] using the [tex]\( g(x) \)[/tex] row. 2. Use the value found in step 1 as the input for [tex]\( f(x) \)[/tex] to find [tex]\( f(g(4)) \)[/tex].
Step-by-step solution:
1. From the table, find [tex]\( g(4) \)[/tex]: [tex]\[
g(4) = 1
\][/tex] 2. Now, using [tex]\( g(4) = 1 \)[/tex] as the new input, find [tex]\( f(g(4)) \)[/tex]: [tex]\[
f(g(4)) = f(1)
\][/tex] 3. From the table, find [tex]\( f(1) \)[/tex]: [tex]\[
f(1) = 9
\][/tex]
Therefore, [tex]\( f(g(4)) = 9 \)[/tex].
So, the evaluated value of [tex]\( f(g(4)) \)[/tex] is: [tex]\[
\boxed{9}
\][/tex]
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.
