Question

Assume the given function is one-to-one. Find the indicated values:

N
0 1 2 3 4 45 56789
f(z) 8
0 7 4 2 6 5 3 9 1
f(9)- I
If f(z)-9 then z
If f(2)=7 then z

Answer 1

Given that the function is one-to-one, the indicated values are;

f(9) = 1

If f(x) = 9, then x = 8

`f^-1`(3) = 7

If
`f^-1`(x) = 7, then x = 3

How to find the indicated values

By using the given function:

x: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

f(x): 8, 0, 7, 4, 2, 6, 5, 3, 9, 1

We can find the values as follows:

f(9) = 1

This means that when x = 9, f(x) = 1.

If f(x) = 9, then x = 8

This means that when f(x) = 9, x = 8.

`f^-1(3) = 7`

This means that the inverse function of f(x) when f(x) = 3 is x = 7.

If
`f^-1`(x) = 7, then x = 3

This means that when the inverse function of f(x) is 7, x = 3.