Algebra of functions

Question

Question: Let f(x)= x to the power of 2+3x and g (x)=2x-1. Find the following:

1. (f+g) (x)
2. 
3. (f-g) (3)
4. 

Show your steps using the math type tool and explain your steps in words.

Answer 1

f+g(x) = f(x) + g(x) = 2+3x + 2x - 1= 5x +1

(fg)(x) = f(x)g(x) = (2+3x)(2x-1) = 6x^2 +x -1

(f-g)(x) = f(x)-g(x) = 2+3x - 2x +1 = x +3

(f/g)(x) = (2+3x)/(2x-1)