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