The binary operation * on R is defined by a * b = 2a + b. Find (2 * 3) * 4.
To find: (2*3)*4
Given: a*b = 2a + b
⇒ 2*3 = 2 × 2 + 3 = 7
Now 7*4 = 2 × 7 + 4 = 14 + 4 = 18
⇒ (2*3)*4 = 18