Math Snap

STEP 1

1. We are given a table of values for an invertible function $f(x)$.
2. We need to find specific values and inverses based on the table.

STEP 2

1. Use the table to find the value of $f(0)$.
2. Use the table to find the value of $x$ such that $f(x) = 0$.
3. Determine $f^{-1}(0)$ using the table.
4. Determine $f^{-1}(x)$ such that $f(x) = 0$.

STEP 3

Look at the table to find $f(0)$.
From the table, when $x = 0$, $f(x) = 2$.
Thus, $f(0) = 2$.

STEP 4

Look at the table to find $x$ such that $f(x) = 0$.
From the table, when $x = 2$, $f(x) = 0$.
Thus, $f(\square) = 0$ where $\square = 2$.

STEP 5

Determine $f^{-1}(0)$.
Since $f(2) = 0$, then $f^{-1}(0) = 2$.

Determine $f^{-1}(x)$ such that $f(x) = 0$.
Since $f(2) = 0$, then $f^{-1}(\square) = 0$ where $\square = 2$.
The answers are:
(a) $f(0) = 2$
(b) $f(2) = 0$
(c) $f^{-1}(0) = 2$
(d) $f^{-1}(2) = 0$