Question:
Let \( * \) be a binary operation on integers defined by:
\[ a * b = 2a + b – 3 \]
Find \( 3 * 4 \).
Solution:
Step 1: Substitute \( a = 3 \), \( b = 4 \)
\[ 3 * 4 = 2(3) + 4 – 3 \]
Step 2: Simplify
\[ = 6 + 4 – 3 \]
\[ = 7 \]
Final Answer:
\[ \boxed{7} \]