Given f(x) = 7x+10x29\displaystyle \frac{{{7}{x}+{10}}}{{{x}^{{2}}-{9}}} and g(x) = 6x+7x29\displaystyle \frac{{{6}{x}+{7}}}{{{x}^{{2}}-{9}}} , find:

a) (f + g)(x)

 

b) the domain, in interval notation, of (f + g)(x)

 

c) (f - g)(x)

 

d) the domain, in interval notation, of (f - g)(x)

 

e) (f/g)(x)

 

f) the domain, in interval notation, of (f/g)(x)