Answer
(f ο g)(2)= 1/17 =0.058 and (f+g)(2)= 17.5
Explanation:
f(x)=1/x ; f(2)=1/2
g(x)=4x+9 ; g(2)=4(2)+9
As,
1. (f ο g)(x)=f(g(x)) (Composite Function)
(f ο g)(2)=f(g(2))=f(4(2)+9)=f(8+9)=f(17)=1/17
=0.058 (in decimal)
2. (f+g)(x)= f(x)+g(x) (Sum of Functions)
(f+g)(2)=f(2)+g(2)=1/2 +(4(2)+9)=1/2+(8+9)=1/2+17 (taking L.C.M)
=[1+17(2)]/2=(1+34)/2=35/2
=17.5 (in decimal)