Question:
Let \( * \) be a binary operation defined by:
\[ a * b = 3a + 4b – 2 \]
Find \( 4 * 5 \).
Solution:
Step 1: Substitute \( a = 4 \), \( b = 5 \)
\[ 4 * 5 = 3(4) + 4(5) – 2 \]
Step 2: Simplify
\[ = 12 + 20 – 2 \]
\[ = 30 \]
Final Answer:
\[ \boxed{30} \]