Answered

IDNLearn.com provides a user-friendly platform for finding and sharing accurate answers. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

Complete the table to represent the inverse of function [tex]\( f \)[/tex].

Given table for function [tex]\( f \)[/tex]:

[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
x & -3 & 2 & 3 & 7 \\
\hline
y & -2 & 8 & 10 & 18 \\
\hline
\end{array}
\][/tex]

Inverse of function [tex]\( f \)[/tex]:

[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
x & -2 & 8 & 10 & 18 \\
\hline
y & \square & \square & \square & \square \\
\hline
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
To find the inverse of the function [tex]\( f \)[/tex], we need to swap the [tex]\( x \)[/tex] and [tex]\( y \)[/tex] values from the given table.

Given table for function [tex]\( f \)[/tex]:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline x & -3 & 2 & 3 & 7 \\ \hline y & -2 & 8 & 10 & 18 \\ \hline \end{array} \][/tex]

The values for the inverse function [tex]\( f^{-1} \)[/tex] are obtained by swapping [tex]\( x \)[/tex] with [tex]\( y \)[/tex]:

[tex]\[ \begin{array}{|c|c|c|c|c|} \hline x & -2 & 8 & 10 & 18 \\ \hline y & -3 & 2 & 3 & 7 \\ \hline \end{array} \][/tex]

So the completed table for the inverse of function [tex]\( f \)[/tex] is:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline x & -2 & 8 & 10 & 18 \\ \hline y & -3 & 2 & 3 & 7 \\ \hline \end{array} \][/tex]
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.