3) Given the function f(x) defined by the table below, 1 4 2 8 b) a) Evaluate f(6) Solve f(x) = 4 c) Evaluate g' (7) Evaluate f(g(7)) Evaluate g(f(1)) d) x f(x) g(x) 2 4 1 353 62 557 6 3 6 7 2+ -2 4 8 -1 5

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem 3: Functions Table and Evaluation**

Given the function \( f(x) \) defined by the table below:

\[
\begin{array}{|c|c|c|c|c|c|c|c|c|}
\hline
x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline
f(x) & 2 & 4 & 5 & 6 & 5 & 3 & -2 & -1 \\
\hline
g(x) & 8 & 1 & 3 & 2 & 7 & 6 & 4 & 5 \\
\hline
\end{array}
\]

**Tasks:**

a) Evaluate \( f(6) \).

b) Solve \( f(x) = 4 \).

c) Evaluate \( g^{-1}(7) \).

d) Evaluate \( f(g(7)) \).

e) Evaluate \( g(f(1)) \).
Transcribed Image Text:**Problem 3: Functions Table and Evaluation** Given the function \( f(x) \) defined by the table below: \[ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline f(x) & 2 & 4 & 5 & 6 & 5 & 3 & -2 & -1 \\ \hline g(x) & 8 & 1 & 3 & 2 & 7 & 6 & 4 & 5 \\ \hline \end{array} \] **Tasks:** a) Evaluate \( f(6) \). b) Solve \( f(x) = 4 \). c) Evaluate \( g^{-1}(7) \). d) Evaluate \( f(g(7)) \). e) Evaluate \( g(f(1)) \).
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