Question

Please solve question above

Answer 1

Answer

(f ο g)(2)= 1/17 =0.058  and (f+g)(2)= 17.5

Step-by-step 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)