if-f-x-3-x-1-find-f-2x-1-f-x-1-

Question Number 146677 by mathdanisur last updated on 14/Jul/21

i f f (x) = 3^{x + 1} f i n d \frac{f (2 x + 1)}{f (x + 1)} = ?

Answered by hknkrc46 last updated on 14/Jul/21

▸ f (2 x + 1) = 3^{(2 x + 1) + 1} = 3^{2 x + 2}

▸ f (x + 1) = 3^{(x + 1) + 1} = 3^{x + 2}

\Rightarrow \frac{f (2 x + 1)}{f (x + 1)} = \frac{3^{2 x + 2}}{3^{x + 2}} = 3^{2 x + 2 - (x + 2)}

= 3^{2 x + 2 - x - 2} = 3^{x} = \frac{f (x)}{3}

Commented by mathdanisur last updated on 15/Jul/21

t h a n k y o u S e r c o o l

t h a n k y o u S e r c o o l