Question

use the drawing tools to form the correct answer on the graph.
what is the inverse of the function shown?
drawing tools
select
point
line segment
click on a tool to begin drawing
reset
undo

Explanation:

Step1: Identify function points

First, pick two points on the given line: let's use the x-intercept $(6, 0)$ and the endpoint $(9, 3)$.

Step2: Find inverse points

For the inverse function, swap the x and y coordinates of each point: $(0, 6)$ and $(3, 9)$.

Step3: Plot and draw inverse line

Plot the swapped points, then draw a line segment connecting them (matching the original function's segment type).

Answer:

The inverse function is the line segment connecting the points $(0, 6)$ and $(3, 9)$, forming a line with slope $\frac{9-6}{3-0}=1$, equation $y = x + 6$ for $x$ from $0$ to $3$.