Let X be the set $\{1,2,3,4,5\}$and Y be the set $\{6,7,8,9,10\}$.The unary function $\mathbf{f}\mathbf{:}\mathbf{X}\mathbf{\to }\mathbf{Y}$and the binary function $\mathbf{g}\mathbf{:}\mathbf{X}\mathbf{\times }\mathbf{Y}\mathbf{\to }\mathbf{Y}$are described in the following tables.

$\overline{)\begin{array}{c}\underline{\mathbf{g}}\\ \mathbf{1}\\ \mathbf{2}\\ \mathbf{3}\\ \mathbf{4}\\ \mathbf{5}\end{array}}\begin{array}{c}\underline{\mathbf{f}\mathbf{}\mathbf{\left(}\mathbf{n}\mathbf{\right)}}\\ \mathbf{6}\\ \mathbf{7}\\ \mathbf{6}\\ \mathbf{7}\\ \mathbf{6}\end{array}$ $\overline{)\begin{array}{c}\underline{\mathbf{g}}\\ \mathbf{1}\\ \mathbf{2}\\ \mathbf{3}\\ \mathbf{4}\\ \mathbf{5}\end{array}}\begin{array}{c}\underline{\mathbf{6}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{7}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{8}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{9}\mathbf{}\mathbf{}\mathbf{}\mathbf{10}}\\ \mathbf{10}\mathbf{}\mathbf{}\mathbf{10}\mathbf{}\mathbf{}\mathbf{10}\mathbf{}\mathbf{}\mathbf{10}\mathbf{}\mathbf{}\mathbf{10}\\ \mathbf{7}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{8}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{9}\mathbf{}\mathbf{}\mathbf{}\mathbf{10}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{6}\\ \mathbf{7}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{8}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{9}\mathbf{}\mathbf{}\mathbf{}\mathbf{10}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{6}\\ \mathbf{7}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{8}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{9}\mathbf{}\mathbf{}\mathbf{}\mathbf{10}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{6}\\ \mathbf{7}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{8}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{9}\mathbf{}\mathbf{}\mathbf{}\mathbf{10}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{6}\end{array}$

a. What is the value of $\mathit{f}\mathbf{\left(}\mathbf{2}\mathbf{\right)}$?
b.What are the range and domain of f?
c. What is the value of g (2, 10) ?
d. What are the range and domain ofg?
e. What is the value ofg(4, f (4))?

Unlock Step-by-Step Solutions & Ace Your Exams!

• Full Textbook Solutions

  Get detailed explanations and key concepts

• Unlimited Al creation

  Al flashcards, explanations, exams and more...

• Ads-free access

  To over 500 millions flashcards

• Money-back guarantee

  We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!