Wiskunde Multiple Choice Vraag

Als f (x) = 3x³ + 1 en g (x) = sin x dan is \((f_o\,g)(\pi+\frac{\pi}{6})\)	A. 1,375
B. − 0,125
C. 0,375
D. 0,625
E. 3,125

$\inline\\g\left(\pi+\frac{\pi}6\right)=\sin\left(\pi+\frac{\pi}6\right)=-\sin\left(\frac{\pi}6\right)=-\sin 30^\circ=-\frac12\\f\left(-\frac12\right)=3\cdot\left(-\frac12\right)^3+1=-3\cdot 0,125+1=1-0,0,375=0,625\\(f_o\,g)(\pi+\frac{\pi}{6})=f(g(\pi+\frac{\pi}{6}))=f(-\frac12)=0,625$