Question

Find the greatest integer of the function [x+4/3]-1.

a) [x+4/3]-2
b) [x+4/3]-1
c) [x+4/3]
d) [x+4/3]+1

Answer 1

To find the greatest integer of the function [x+4/3]-1, we take the largest integer less than or equal to x+4/3 and then subtract 1. The correct answer to the student's question is option b) [x+4/3]-1.

Step-by-step explanation:

The student has asked for help in finding the greatest integer of the function [x+4/3]-1. The notation [x] typically denotes the greatest integer function, which returns the largest integer less than or equal to x. To find the greatest integer of [x+4/3]-1, we need to evaluate the expression inside the brackets and then subtract 1. The options provided seem to indicate variations of this expression with different constants subtracted.

Therefore, the correct answer to the question is b) [x+4/3]-1 since it directly corresponds to the given expression without any additional alteration.