Question

Use the graph below to fill in the missing values.

5+
- 1
4
13
2
1
-1
f(x)
Z
2
f(0) =
f(x) = 0 x =
f-¹(0) =
f-¹(x) = 0 x =
3 4
5

Answer 1

Based on the graph, the missing values are

f(0) = 2

f(x) = 0, x = 1

f⁻¹(0) = 1

f⁻¹(x) = 0, x = 2

How to find the values

According to the problem/ e have inverse functions.

An inverse function is a function that reverses or undoes the action of another function.

inverse functions are solved by interchanging the x-coordinates and the y-coordinates. Such that (x, y) becomes (y, x)

So that when

• f(0) = 2 for the inverse, expect f⁻¹(2) = 0

• f(1) = 0 for the inverse, expect f⁻¹(0) = 1