Let f be the function defined by f\left(x\right)=2x^2+3, and let g be the function defined by g\left(x\right)=-3x^2-2x. Determine an expression of f+g.
Assume that f\left(x\right)=x^2+3x and g\left(x\right)=-x^2+2x+4. Determine an expression of f-g.
Assume that f\left(x\right)= \sqrt{x^2+1} and g\left(x\right) =\dfrac{x^2-1}{ \sqrt{x^2+1}}. Determine an expression of f+g.
Assume that f\left(x\right) = \dfrac{2}{x+1} and g\left(x\right) = \dfrac{x-1}{x+1}. Determine an expression of f+g.
Assume that f\left(x\right) = 2x and g\left(x\right) = \dfrac{x}{x+1}. Determine an expression of f+g.
Suppose that f\left(x\right) = x^2+2x-1 and g\left(x\right) = \left(x+1\right)^2. Determine an expression of f-g.
Suppose that f\left(x\right) = \sqrt{x}-1 and g\left(x\right) = \dfrac{x}{\sqrt{x}+1}. Determine an expression of f-g.