Questions: Use the table below to fill in the missing values. x f(x) ------ 0 2 1 5 2 3 3 8 4 4 5 6 6 0 7 9 8 7 9 1 f(7)= if f(x)=7, then x= f^(-1)(9)= if f^(-1)(x)=8, then x=

Solution Steps

To solve the given problems, we need to interpret the table as a function mapping from $x$ to $f(x)$. For each question, we will look up the corresponding value in the table or find the inverse mapping where necessary.

1. To find $f(7)$, we look up the value of $f(x)$ when $x = 7$.
2. To find $x$ such that $f(x) = 7$, we search for the $x$ value in the table where $f(x)$ equals 7.
3. To find $f^{-1}(9)$, we determine the $x$ value such that $f(x) = 9$.

To find $f(7)$, we look up the value of $f(x)$ when $x = 7$ in the table. According to the table, $f(7) = 9$.

We need to find the value of $x$ for which $f(x) = 7$. By examining the table, we see that when $x = 8$, $f(x) = 7$.

To find $f^{-1}(9)$, we need to determine the value of $x$ such that $f(x) = 9$. From the table, we see that when $x = 7$, $f(x) = 9$.

Final Answer