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

$$iff\left(x\right)=3^{\mathit{x}+1}find\frac{f(2x+1)}{f(x+1)}=?$$

Answered by hknkrc46 last updated on 14/Jul/21

$$▸\mathit{f}(2\mathit{x}+1)=3^{(2\mathit{x}+1)+1}=3^{2\mathit{x}+2}$$$$▸\mathit{f}(\mathit{x}+1)=3^{(\mathit{x}+1)+1}=3^{\mathit{x}+2}$$$$\Rightarrow \frac{\mathit{f}(2\mathit{x}+1)}{\mathit{f}(\mathit{x}+1)}=\frac{3^{2\mathit{x}+2}}{3^{\mathit{x}+2}}=3^{2\mathit{x}+2-(\mathit{x}+2)}$$$$=3^{2\mathit{x}+2-\mathit{x}-2}=3^{\mathit{x}}=\frac{\mathit{f}\left(\mathit{x}\right)}{3}$$

Commented by mathdanisur last updated on 15/Jul/21

$$thankyouSercool$$

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