The question given below is a sample question in Functions. This particular question is an example of finding value of a function based on the definition for the function. This is an easy question from this topic.
Question 2
If a # b = ( a + b )
2 – (a – b)
2, what is the value of 3 # (1 # 0)?
- 1
- 0
- 3
- 4
- 6
Correct answer is 3. Choice C.
Explanatory Answer
( a + b )
2 + (a – b)
2 = (a
2 + 2ab + b
2) – ( a
2 –2ab + b
2)
= a
2 + 2ab + b
2 – a
2 +2ab – b
2
= 4ab
Therefore, (1 # 0) = 4 * 1 * 0 = 0
3 # (1 # 0) = 3 # 0 = 4 * 3 * 0 = 0
Choice C is the correct choice.
