1. f(x)= |x|; g(x)= |x-3|

a.) f+g

b.) f-g

c.) f⋅g

d.) f/g

e.) g/f

a.) f+g

b.) f-g

c.) f⋅g

d.) f/g

e.) g/f

2. f(x)=1/(x+1); g(x)=x/(x-2)

a.) f+g

b.) f-g

c.) f⋅g

d.) f/g

e.) g/f

a.) f+g

b.) f-g

c.) f⋅g

d.) f/g

e.) g/f

3. f(x)=x^2; g(x)=1/√x

a.) f+g

b.) f-g

c.) f⋅g

a.) f+g

b.) f-g

c.) f⋅g

d.) f/g

e.) g/f

e.) g/f

## Comments

abs(x)+abs(x-3)No further simplification is possible.abs(x)-abs(x-3)No further simplification is possible.abs [x(x-3)]No further simplification is possible.abs[x/(x-3)]No further simplification is possible.abs [(x-3)/x]No further simplification is possible.{[1/(x+1)] + [2/(x-2)] +1}No further simplification is possible.{[1/(x+1)] - [2/(x-2)] -1}No further simplification is possible.{x/[(x+1)(x-2)]}No further simplification is possible.{(x-2)/[x(x+1)]}No further simplification is possible.{[x(x+1)]/(x-2)}No further simplification is possible(x^2) + (1/√x)(x^2) - (1/√x)xor^{3/2}[(x)*(√x)]xor^{5/2}[(x^2)*(√x)](1/xor^{5/2})x^{-5/2}