Question

If f(x)=x/3-2and g(x)=3x^+2x-6 find (f+g) (x)

Answer 1

Given

`\begin{gathered} f(x)=(x)/(3)-2 \\ g(x)=3x^2+2x-6 \end{gathered}`

We want to find (f + g)(x). This is basically the sum function of f and g.

We add the two functions and simplify. The steps are shown below:

`\begin{gathered} (f+g)(x)=f(x)+g(x) \\ =((x)/(3)-2)+(3x^2+2x-6) \\ =(x)/(3)-2+3x^2+2x-6 \\ =3x^2+2x+(x)/(3)-2-6 \\ =3x^2+(7)/(3)x-8 \end{gathered}`

The correct answer is:

`(f+g)(x)=3x^2+(7)/(3)x-8`