Question

which graph could be the inverse of $f(x)$?
a
b
c
none of these

Explanation:

Step1: Recall inverse graph property

The graph of an inverse function $f^{-1}(x)$ is the reflection of the graph of $f(x)$ over the line $y=x$.

Step2: Reflect given $f(x)$ over $y=x$

The original $f(x)$ is a decreasing curve in the fourth quadrant (extending to first quadrant). Reflecting this over $y=x$ gives a decreasing curve in the second quadrant (extending to first quadrant), which matches graph B.

Answer:

B