1.

The binary operation * : R × R → R is defined as a * b = 2a + b. Find (2 * 3) * 4.

Answer»

a * b = 2a + b, (2 * 3) * 4 ?

2 * 3 = 2(2) + 3

= 4 + 3

2 * 3 = 7

(2 * 3) * 4 = 7 * 4

= 2(7) + 4

= 14 + 4

= 18



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