for the given function f&g, find the following and state the domain of each result

f(x)=2x+1/9x-5; g(x)4x/9x-5

a.(f+g)(x)=
what is the domain?
b.(f/g)(x)=
what is the domain?

please show work

answer the following for the given quadratic function
f(x)=x^2+10x-11
a. what is the vertex (h,k) of f?
b. what is the axis of symmetry?

please show work

1 answer

1. is answered below on related links

2.

f(x) = x^2+10X+25 - 11 - 25
f(X) = (X+5)^2 - 36

now read off the vertex, which lies on the axis of symmetry.