Show that the relation R on the set Z of all integers, given by {\R}=\{( {\a}, {\b}): 2 divides ( {\a}- {\b})\} is an equivalence relation. OR If f(x)=\frac{4 x+3}{6 x-4}, x \neq \frac{2}{3}, show that f \circ f(x)=x for all x \neq \frac{2}{3}. Also, find the inverse of f.

CBSE Class 12 Math 2019 All India Set 1 Solved Paper

Question : 13 of 29

Marks: +1, -0

Show that the relation

R

on the set

Z

of all integers, given by

{\R}=\{( {\a}, {\b}): 2

divides

( {\a}- {\b})\}

is an equivalence relation.
OR
If

f(x)=\;{4 x+3}/{6 x-4}, x ≠ \;{2}/{3}

, show that

f ∘ f(x)=x

for all

x ≠ \;{2}/{3}

. Also, find the inverse of

f

Solution:

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