Question

Find (f/g)(4) and (f+g)(4)?

If f(x)=x^2+2x-3 and g(x)=x^2-9, Find (f/g)(4) and (f+g)(4)

Answer 1

`(f/g)(4)=(f(4))/(g(4))=(21)/7=3`
`(f+g)(4)=f(4)+g(4)=21+7=28`

Explanation:

The notation `(f/g)(x)` is just a way to say `(f(x))/(g(x))` and
`(f+g)(x)` is another way to say `f(x)+g(x)`
`(fg)(x)` is another way to say `f(x)*g(x)`

Answer 2

`(f/g)(4)=3`, `(f+g)(4)=28`

Explanation:

`f(x)=x^2+2x-3` , `g(x)=x^2-9`
`f(4)=4^2+2*4-3=16+8-3=21`
`g(4)=4^2-9=16-9=7`

`(f/g)(4)=f(4)/g(4)`

`(f/g)(4)=21/7=3`

`(f+g)(4)=f(4)+g(4)`

`(f+g)(4)=21+7=28`