Question

if f (x)=[x]+[x],find f (-2.5)​

Answer 1

Answer:

If f : R -> R is defined by f(x)=x-[x]- 1,2. for x in R, where [x] is the greatest integer exceeding x , then {x in R:f(x)=1,2}=

Answer 2

Function

Given:

A function $f(x)=[x]+[x]$.

To find:

f(-2.5)

Explanation:

[ ] this is the symbol of greatest integer in concept of function.

The function  [x]  represents the largest integer not exceeding  x , or greatest integer less than or equal to the number.

So, when we find greatest integer of -2.5, -3 is the integer less than that, and in function, we will find value at -3.

$f(x)=[x]+[x]\\\\\implies f(x)=-3+(-3)\\\\\implies f(x)=-6$

Hence f(x)=-6.