Defined Operation; Do Inverse

Suppose a linear operation �/� is defined so that:

5 / = 11;

8 / = 17;

12 / = 25.

What is n if n / = 35?


Show/Hide Solution

We notice that:

5  →  11 = 2 ⋅ 5 + 1
8  →  17 = 2 ⋅ 8 + 1
12  →  25 = 2 ⋅ 12 + 1
x  →  2x + 1

If 2x + 1 = 35, then 2x = 34 and x = 17.

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