3
and
Show that if för {}
→ R-
3x +4
is defined by f(x) =
5x - 7
Example 17 Show that if f:R-
5
3
7
> R-
7x+4
5x - 3
8:R-
is defined by g(x) =
then fog = 1 and gof=1g, where,
5
5
3
A=R-
B=R-
3
;I. (x) = x, VXE A, I, (x) = x, Vxe B are called identity
5
5
functions on sets and B, respectively.
Solution We have
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fvxuurb
get
gggnu
hhfdfgj.
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