Answer: 9. a. x*f(x)=
x*((1-cos x)/x)=1-cos x
x*g(x)=
x*2/x=2
-1<=cos x<=1
1>=-cos x>=-1
2>=1-cos x>=0
3>=-cos x>=-1
3>=-cos x>=-1 ==> 1>=-cos x>=-1
b. x=0. The x value in f(x) and g(x) can't be 0.
c. 1/2
Explanation:
c. f(x)/g(x)=
((1-cos x)/x)/(2/x)=
(x(1-cos x)/x)/2=1-cos x/2
1-cos (0)/2=
1-1/2=1/2