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Question Number 205273 by hardmath last updated on 14/Mar/24

$$\mathrm{If}\mathrm{f}(\mathrm{x}-1)=2\mathrm{x}+2$$$$\mathrm{Find}\mathrm{f}\left(\mathrm{x}\right)=?$$

Answered by Rasheed.Sindhi last updated on 14/Mar/24

$$Replace\mathrm{x}by\mathrm{x}+1$$$$\mathrm{f}\left(\mathrm{x}\right)=2(\mathrm{x}+1)+2=2\mathrm{x}+4$$

Answered by Rasheed.Sindhi last updated on 14/Mar/24

$$f(x-1)=2x-2+4$$$$=2(x-1)+4$$$$Replacex-1byx:$$$$f\left(x\right)=2x+4$$

Answered by Skabetix last updated on 14/Mar/24

$$f(x-1+1)=f\left(x\right)=2(x+1)+2=2x+2+2=2x+4$$

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