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 g(x)=-5-7/2x and f(x)=-2/7x-10/7

*Use composition to determine whether each pair of functions are inverses*

 Nov 9, 2015
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 g(x)=-5- (7/2)x and f(x)= (-2/7)x-10/7

 

If f(g) = g(f)  = x.....they are inverses....so

 

f(g)  = (-2/7) [-5 - 7/2)x] - 10/7  =   10/7 + x - 10/7 = x

 

And

 

g(f)  = -5 - (7/2) [ (-2/7)x - 10/7]  = -5 + x + 5  = x

 

They are inverse functions.........!!!

 

 

cool cool cool

 Nov 9, 2015

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