Ask Experts Questions for FREE Help !
Ask
    phoenirius's Avatar
    phoenirius Posts: 34, Reputation: 1
    Junior Member
    		  
    #1

    Jan 23, 2006, 03:32 PM
    algebra of functions
    #1 Given f(x)-x^2-4 and g(x)=2x-1 how would you determine the value of (f+g)(3) and (f/g)(-1)?



    #2 If f(x)=x+2 and g(x)=x how would you find the value or values for which (fg)(x)=8?


    Thank you.
    dmatos's Avatar
    dmatos Posts: 204, Reputation: 26
    Full Member
    		  
    #2

    Jan 23, 2006, 05:13 PM
    We're talking combinations of functions here. It is important to note that (f+g)(x) can also be written as f(x)+g(x). Also, (f/g)(x) = f(x)/g(x), and similarly, (fg)(x) = f(x)g(x).

    So, for #1, simply write out what (f+g)(x) is, and then evaluate for x=3 (ie, replace every x in the equation with the number 3). Do the same for (f/g)(x), and evaluate for x=-1.

    For #2, write out what (fg)(x) is. Then, set that equal to 8. Move the eight over to the other side of the equation, and you will have a nice, familiar polynomial of the 2nd degree to factor.
Not your question? Ask your question View similar questions
 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

Solving Functions [ 5 Answers ]

Knowing f(x)=x^2+x and g(x)=2x+1 how would you solve f(g(x)) and (g (circle) f)(4)?? How do you determine the f^(-1) of f(x)=3x-2? Is x+2/3 correct? Thanks

Polynomial Functions [ 1 Answers ]

Using transformations and the zeros of the polynomial function f(x)=x(x-4)(x+2) how could you determine the zeros of y=f(2x)?? Thanks

Functions [ 7 Answers ]

Why would f(x) =pi/4x^3-sqrt2x+4 be classified as a polynomial? How would you determine the domain and range of y=x^4-4x^2? Assuming that the zeros of the function y=x^3+mx^2+nx+2 are integers how would you determine the values of m and n?? Thank you.

PHP ftp functions [ 1 Answers ]

I am trying to write a page to ftp files from my PC to my website. I am able to connect and log in using ftp_connect() and ftp_login(), but the ftp_put function won't work. What do I use as the values for the parameters? $upload= ftp_put($conn_id,$destination_file,$source_file,FTP_ASCII); if...

View more questions Search