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CBSE Class 12 · 2007 · Relations And Functions XIILong Answer

If

f

is the greatest integer function and

g

is the absolute value function, find the value of

(f o g) (\frac{- 3}{2}) + (g o f) (\frac{4}{3})

.

Answer: $2$

Solution

Here

f (x) = ⌊ x ⌋

(greatest integer) and

g (x) = ∣ x ∣

.
First term:

(f o g) (- \frac{3}{2}) = f (- \frac{3}{2}) = f (\frac{3}{2}) = ⌊ \frac{3}{2} ⌋ = 1

.
Second term:

(g o f) (\frac{4}{3}) = g (⌊ \frac{4}{3} ⌋) = g (1) = ∣1∣ = 1

.
Add the two results.

(f o g) (- \frac{3}{2}) + (g o f) (\frac{4}{3}) = 1 + 1

= 2

CBSE Class 12 Board · 2007 · Subjective

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