Question

8. Use the pair of functions to find the value of each of the following combination of functions.

Answer 1

The given functions are

`f(x)=x^2,g(x)=(25)/(-8x-1)`

We need to find

`(f+g)(9)`

That means we will add f and g, then substitute x by 9

`(f+g)(x)=x^2+(25)/(-8x-1)`

Substitute x by 9

`(f+g)(9)=9^2+(25)/(-8(9)-1)`

Simplify it and solve

`\begin{gathered} (f+g)(9)=81+(25)/(-72-1) \\ \\ (f+g)(9)=81-(25)/(73) \\ \\ (f+g)(9)=80(48)/(73) \end{gathered}`

The answer is (f + g)(9) = 80 48/73