Question

If the binary operation * on the set Z of integers is defined by a * b = a + 3b², find the value of 2 * 4.

Answer 1

Given: a * b = a + 3b²

Here,
         2 * 4 = 2 + 3 (4)²
                  = 2 + 3 (16)
                  = 2 + 48
                  = 50