Question

given:...
find(f+g)(X)

Answer 1

find (f+g)(x)

Answer 2

add

Answer 3

i.e. put a plus sign between them

Answer 4

In general :
\[(f+g)(x)=f(x)+g(x)\\
\\(\lambda f)(x)=\lambda f(x)
\\(fg)(x)=f(x)g(x)
\\\left(\frac fg\right)(x)=\frac{f(x)}{g(x)}~~ g(x)\ne 0
\]

Answer 5

im still really confused

Answer 6

\[(f+g)(x)=f(x)+g(x)=\frac{3}{x+6}+x^2-3=\frac{3+(x^2-3)(x+6)}{x+6}=\frac{3+x^3+6x^2-3x-18}{x+6}\\=\frac{x^3+6x^2-3x-15}{x+6}\]

Answer 7

thank you that helps a lot