Chapter 1.1, Problem 114AYU

(a)

To determine

Whether the function $h\left(x\right)=2x$ have the property $h\left(a+b\right)=h\left(a\right)+h\left(b\right)$.

(b)

To determine

Whether the function $g\left(x\right)=x^2$ have the property $g\left(a+b\right)=g\left(a\right)+g\left(b\right)$.

(c)

To determine

Whether the function $F\left(x\right)=5x-2$ have the property $F\left(a+b\right)=F\left(a\right)+F\left(b\right)$.

(d)

To determine

Whether the function $G\left(x\right)=\frac{1}{x}$ have the property $G\left(a+b\right)=G\left(a\right)+G\left(b\right)$.