Question

consider the graph of the function f(x) below.
what is the value of $f^{-1}(2)$?
a. -1
b. 1
c. 2
d. 3

Explanation:

Step1: Recall inverse function definition

For $f^{-1}(2)$, find $x$ where $f(x)=2$.

Step2: Locate $y=2$ on the graph

Find the point on the line with $y=2$. From the graph, this point is $(1, 2)$.

Step3: Identify the corresponding $x$-value

The $x$-value of this point is 1, so $f^{-1}(2)=1$.

Answer:

B. 1