Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let $f(x)=[x]$ and $g(x)=|x|.$ Then gof $(\frac{-5}{3})-fog(\frac{-5}{3})$ where [x] is greatest integer valued function and [x] is modulus function.

Options:

0

1

3

-10

Correct Answer:

1

Explanation:

The correct answer is Option (2) → 1

$gof (\frac{-5}{3})-fog(\frac{-5}{3})$

so $g([\frac{-5}{3}])-f(|\frac{-5}{3}|)$

$=g(-2)-f(\frac{5}{3})$

$=|-2|-[\frac{5}{3}]=2-1=1$