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Question Number 119391 by Don08q last updated on 24/Oct/20

$$\mathrm{Given}\mathrm{that}f(x-3)=x^2-12x+41$$$$\mathrm{find}\mathrm{an}\mathrm{explicit}\mathrm{expression}\mathrm{for}f\left(x\right)$$$$$$$$pleaseIneedtheprocedure$$

Answered by bemath last updated on 24/Oct/20

$$letx-3=t,x=t+3$$$$f\left(t\right)={(t+3)}^2-12(t+3)+41$$$$f\left(t\right)=t^2+6t+9-12t-36+41$$$$f\left(t\right)=t^2-6t+14,replacetbyx$$$$f\left(x\right)=x^2-6x+14$$

Commented by Don08q last updated on 24/Oct/20

$$ThanksverymuchSir$$

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