Chapter 11.3, Problem 12E

To determine

(a)

$\left(f,f\right)\ge 0$ and equals zero only when $f=0$.

To determine

(b)

$\left(f,g\right)=\left(g,f\right)$

To determine

(c)

$\left(f+h,g\right)=\left(f,g\right)+\left(g,h\right)$

To determine

(d)

$\left(cf,g\right)=c\left(f,g\right)$