Write the Word or Phrase That Best Completes Each Statement $f , g$

Essay

Write the word or phrase that best completes each statement or answers the question.
-For $f , g$ in C[a, b], set $\langle f , g \rangle = \int _ { a } ^ { b } f ( t ) g ( t ) d t$ .
Show that $\langle f , g \rangle$ defines an inner product of $C [ a , b ]$ .