Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let $f(x)=\left\{\begin{matrix}1+|x|,&x<-1\\{[x]},&x≥-1\end{matrix}\right.$ where [.] denotes the greatest integer function. The $f\{f(−2.3)\}$ is equal to

Options:

2

3

4

-3

Correct Answer:

3

Explanation:

$f(−2.3) = 1 + | −2.3| = 1 + 2.3 = 3.3$

$f\{(−2.3)\} = f\{3.3\} = [3.3] = 3$