$f(x+1)= {3x+5 \over 2x+1}, x\neq-1/2$
How can I get f(x)?
More generally, if I have $f(x+k)$ what do I have to do to get $f(x)$
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Hint: $3x+5 = 3x+3+2 = 3(x+1)+2$ – JMoravitz Feb 03 '21 at 15:29
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You can get it easily applying the equality with $x-1$.
$$ f(x)=f((x-1)+1) = \dfrac{3(x-1)+6}{2(x-1)+1} $$
More generally,
$$ f(x) = f((x-k)+k) $$
PierreCarre
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