If g(x-1)= x^(2) + 2, then g(x)=?

Answer = x^(2) + 2x + 3

Thanks for the help

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- Nov 22nd 2011, 05:52 PMbenny92000Function analysis
If g(x-1)= x^(2) + 2, then g(x)=?

Answer = x^(2) + 2x + 3

Thanks for the help - Nov 22nd 2011, 06:10 PMemakarovRe: Function analysis
Let's define f(x) = g(x - 1) = x^2 + 2. Then what is f(x + 1)?

- Nov 22nd 2011, 06:15 PMProve ItRe: Function analysis
- Nov 22nd 2011, 06:31 PMemakarovRe: Function analysis
- Nov 24th 2011, 12:50 PMHallsofIvyRe: Function analysis
Yet another approach: given g(x- 1)= x^2+ 2, let y= x- 1 so that x= y+ 1. Then g(x- 1)= g(y)= (y+ 1)^2+ 2= y^2+ 2y+ 3. And, of course, it follows that g(x)= x^2+ 2x+ 3.