Functions-23

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If f(x) = 2x2 + 3 and g(x)= x+7 what is: f(g(x))and g(f(x))?

Solution: f(x) = 2x2 + 3

=> f(g(x))= 2(x+7)2 + 3

= 2(x2 + 14x+49) + 3

= 2x2 + 28x +101

And, g(x)= x+7

=> g(f(x))= 2x2 + 3 + 7

= 2x2 + 10

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