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Below is a portion of the graph of a function, y=f(x)



Suppose we define another function by g(x)=f(x+a). On the evidence of the graph above, for what choice of a is it true that g(x) is identical to its inverse, g^-1(x)?

 Aug 17, 2020
 #1
avatar+26675 
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Not positive....but if   a = 2  the graph shifts leftward by 2 and becomes symmetrical about the x=y axis.

 Aug 17, 2020
 #2
avatar+243 
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Thanks :D

 Aug 20, 2020

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