Given: f(x)= x^2 - 2x + 5 and g(x)= √x. What are the answers if its (f+g)(x) , (f-g)(x) , (f*g)(x) , (f/g)(x)

Question

The sign [√] means 'square root' i used it 'cause that's the only one that is similar and available to represent square root sign. So, g(x) is square root of x.

Answer 1

(f+g)(x) is the same as f(x)+g(x)=x^2-2x+5+√x and (f-g)(x)=x^2-2x+5-√x.

(f*g)(x)=x^2√x-2x√x+5√x or x^(5/2)-2x^(3/2)+5√x.

(f/g)(x)=(x^2-2x+5)/√x=x^(3/2)-2√x+(5√x)/x (rational form).