Respuesta :

Hamed313

Answer:

[tex]g( \sqrt{2} ) = \sin( \sqrt{2} ) \\ f(g( \sqrt{2} )) = {e}^{ \sin( \sqrt{2} ) } = 2.68=2.7

ivycoveredwalls

Answer:

D

Step-by-step explanation:

[tex]g(\sqrt{2})=\sin{\sqrt{2}}\\\\f(\sin{\sqrt{2}})=e^{\sin{\sqrt{2}}}\approx 2.7[/tex]

First plug [tex]\sqrt{2}[/tex] into the formula for g(x). Then plug that result into f(x).

The attached image shows a TI-83 calculation.  Make sure your calculator is in Radian mode, not degrees!

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