Let f(x) = 2x+3 and g(x) = x2

part 1 find f(g(x))
part 2 find g(f(x))
part 3 use complete sentences to explain any difference in part 1 and part 2.

F ( x ) = 2 x + 3
g ( x ) = x²
Part 1 : f ( g ( x )) = f ( x² ) = 2 x² + 3
Part 2 : g ( f ( x ) ) = g ( 2 x + 3 ) = ( 2 x + 3 )² = 4 x² + 12 x + 9
Part 3:
Both parts represent the composition of functions. In the first part we are plugging function x² into f ( x ) and in the second part we are plugging
2 x + 3 into g ( x ). 

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