Question

find (fg)(2) and (f+g)(2) when f(x) = 1/x and g(x) = 4x + 9

Answer 1

(fg)(2)=f(2)*g(2)
(f+g)(2)=f(2)+g(2)

Answer 2

so let's go ahead and find f(2) and g(2)

Answer 3

f(x)=1/x
f(2)=1/2
find g(2)

Answer 4

4(2) + 9
8 + 9
17

Answer 5

right no

Answer 6

so f(2)=1/2 and g(2)=17

Answer 7

so (fg)(2)=f(2)*g(2)=1/2 * 17

Answer 8

and (f+g)(2)=f(2)+g(2)=1/2+17

Answer 9

just apply the operations there and you are done

Answer 10

Thank you!