Question

The symbol [x] means the greatest integer not greater than x. If f(x)=[2x]-3x, find the value for f(x-1).

Thanks.

Answer 1

f(x-1)= [2(x-1)]-3(x-1)
=2x-2-3x+3
=-x+1

Answer 2

So you just take away the brackets? Why are you able to do that?