Defined Operations 1; Do Composition

Suppose the operations “#” and “t” are defined so that:

6 # = 20; 2 # = 4; 10 # = 36; and 5 t = 4.5; 10 t = 7; 8 t = 6.

Then what is n if 3 # # t = n?


Show/Hide Solution

We see that:

6 # = 20
2 # = 4
10 # = 36
x # = 4x – 4 = 4(x – 1)

Also:

5 t = 4.5
10 t = 7
8 t = 6
x t = x/2 + 2

So if 3 # # t = n, then
8 # t = n
28 t = n
16 = n

Leave a Reply

Your email address will not be published.