Practice problem
Let f(x)=xsin(x)f(x) = x\sin(x)f(x)=xsin(x) and g(x)=x2.g(x) = x^2.g(x)=x2. Find g(f(x)).g(f(x)).g(f(x)).
xsin(x2)x\sin(x^2)xsin(x2)
x2sin2(x)x^2\sin^2(x)x2sin2(x)
xsin2(x)x\sin^2(x)xsin2(x)
x2sin(x)x^2\sin(x)x2sin(x)
x2sin(x2)x^2\sin(x^2)x2sin(x2)
Type a concept, like “slope” or “photosynthesis”.