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Question 16 Determine the inverse of f(x) and then use it to determine the range of f(x).F(x)=(2x-1)/(x+3) f^(-1)=(1+3x)/(2-x) and the range of f is
Question 16\ Determine the inverse of
f(x)
and then use it to determine the range of
f(x).F(x)=(2x-1)/(x+3)
\
f^(-1)=(1+3x)/(2-x)
and the range of
f
is
(-\\\\infty ,2)U(2,\\\\infty )
\
f^(-1)=(2-x)/(1+3x)
and the range of
f
is
(-\\\\infty ,(-1)/(3))U(-(1)/(3),\\\\infty )
.\
f^(-1)=(1+2x)/(3-x)
and the range of
f
is
(-\\\\infty ,3)U(3,\\\\infty )
\
f^(-1)=(1-3x)/(2+x)
and the range is
(-\\\\infty ,-2)U(-2,\\\\infty )
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