SOLUTION: if f(x)= x^2+2/x-1 and g (x) = 2/x, determine f (3), g (3), (f-g) (3), (fg)(3), and f o g (3)

Algebra ->  Functions -> SOLUTION: if f(x)= x^2+2/x-1 and g (x) = 2/x, determine f (3), g (3), (f-g) (3), (fg)(3), and f o g (3)      Log On


   

Question 696865: if f(x)= x^2+2/x-1 and g (x) = 2/x, determine f (3), g (3), (f-g) (3), (fg)(3), and f o g (3)
Answer by mathbird(71) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= x^2+2/x-1
f(3)=3^2+2/3-1
=9+2/2
=9+1
=10
g (x) = 2/x
g(3)=2/3
(f-g) (3)=
(f-g)=(x^2+2/x-1)-(2/x)
=(x^3+2)/(x^2-x)
(f-g)(3)=(3^3+2)/(3^2-3)
=29/6
(fg)(3)=f(3)*g(3)
=10*2/3
=20/3
fog(3)=f *g[3]
=f(2/3)
=(2/3)^2+2/(2/3 -1)
=4/9+ (2/█(2/3-1))
=4/9+6/(-1)
=-50/9