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Let $\mathrm{f}(x)=x^{2}$ and $\mathrm{g}(x+2)=(x+2)^{2} .$ Are $\mathrm{f}$ and $\mathrm{g}$ the same function? Explain why or why not.
Yes
Algebra
Chapter 4
RELATIONS AND FUNCTIONS
Section 2
Function Notation
An Introduction to Geometry
Functions
Linear Functions
Polynomials
Campbell University
Oregon State University
McMaster University
University of Michigan - Ann Arbor
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trying to figure out if F of X and G of X are the same function. It's a couple of reasons we can say it's not. I mean number one G of X. This exposed to square can be re written is X squared plus four X plus four and obviously extra police force before is not equivalent to X squared. Another way to look at it is if we go to graphing. We do X squared as one of our functions and X plus two. Where is our other function? We don't get the same exact graph, so because they don't have the same graph, Um and they're not the same equation then they are not the same function. So for those reasons, I would say f of X and G of X are not the same function.
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