100920 More problems on function operations

B if the fuel cost is to be kept at or below 4 cents

Info icon This preview shows page 2. Sign up to view the full content.

View Full Document Right Arrow Icon
b. If the fuel cost is to be kept at or below 4 cents per mile, at what speeds may the car be driven? c. Based on the meanings of the variables, which composite function makes sense, f g or g f ? Explain why your choice makes sense, and the other choice doesn’t. d. Construct a table of values and a graph of the composite function that you chose in part c . 9. Here f , g , and h stand for any functions, not necessarily the ones in previous problems. a. Draw an “input-output machine” diagram of the composite f g . b. Draw an “input-output machine” diagram of the composite ( f g ) ◦ h . c. Draw an “input-output machine” diagram of the composite f ◦ ( g h ). d. Are ( f g ) ◦ h and f ◦ ( g h ) the same as each other? Explain why or why not. Special rule for questions 10–14: Each question asks you to make up two functions f and g . Usually you can find an easy but uninteresting answer if you pick one of the functions to just be f ( x ) = x or g ( x ) = x . So, you are not allowed to use the plain x function in your answers.
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern