1.) Please help me find the domain and range of

2.) For f(x) = 4x- and g(x) = (3x+2)^2, please find f(g(x)).

Thanks in advance for your assistance.

Printable View

- January 17th 2008, 01:47 PMcurrypuffDomain, Range, and Function Problems
1.) Please help me find the domain and range of

2.) For f(x) = 4x- and g(x) = (3x+2)^2, please find f(g(x)).

Thanks in advance for your assistance. - January 17th 2008, 01:56 PMPlato
Did you graph these two functiona?

That will tell you a great deal. - January 17th 2008, 06:25 PMThePerfectHacker
Domain: We must have .

Range: It is all real such that the equation has a solution for in the domain. Thus, it means we want to solve, and RHS is always non-negative thus LHS must be non-negative and so we have a constraint that . Square both sides, since a square root exists and so the solution is but we want that . If then which is always true. And similarly with . Thus, the range is . - January 18th 2008, 09:29 AMmathgeek777
This one is actually quite simple, you can set what is inside of the square root equal to zero and solve for x.

There's your domain. Not sure how to find the range, but I'm sure someone here can help you on that :)

EDIT: Dag nabbit! Hacker beat me to it again!!! - January 18th 2008, 09:46 AMtopsquark