The binary operation * defined on R×R → R is defined as a*b = 2a + b. Find (2*3)*4.
Given that * is an operation that is valid for the following Domain and Range R×R→R and is defined by a*b = 2ab.
We need to find the value of (2*3)*4
According to the problem the binary operation involving * is true for all real values of a and b.
⇒ (2*3)*4 = ((2×2) + 3)*4
⇒ (2*3)*4 = (4 + 3)*4
⇒ (2*3)*4 = 7*4
⇒ (2*3)*4 = (2×7) + 4
⇒ (2*3)*4 = 14 + 4
⇒ (2*3)*4 = 18
∴ The value of (2*3)*4 is 18.