Posted by Amy on Sunday, November 21, 2010 at 6:47pm.
Another question about domains and range
how would I find the range of (3x4)/(6x1) ? Without using a graph
the domain is x can't be 1/6
What is the range?

Algebra  Amy, Sunday, November 21, 2010 at 6:47pm
without using a graph

Algebra  Reiny, Sunday, November 21, 2010 at 7:24pm
The range is how high or how low your graph can go
So look at what happens when you use large values of x
e.g. in your mind try x = 100 000
so you would have 299 996/599 999
For all practical purposes this is 3/6 or 1/2, even though you will never reach it.
As a matter of fact try it on your calculator you will get .49999... , in other words, less than 1/2
The larger the value of x, the closer we will get to 1/2
If we try large negative values of x
say, x = 100 000
then our calculation is 300 006/600 001
which is slightly over .5
so no value of x will produce a y equal to 1/2
so the domain is the set of all real values of y ,except y = .5
(if you try to solve
(3x4)/(6x1) = 1/2
we get
6x  8 = 6x1
8 = 1 which is false and a contradiction.
So there is no solution)

Algebra  sera, Friday, November 26, 2010 at 11:00am
1. Use a calculator to approximate the square root of 320. Round to three decimal places
Answer This Question
Related Questions
 Math  If f(x)=sin(x) and g(x)=x^2x+1, find the domain of f(g(x)) and g(f(x)). ...
 Algebra (Last Question)  I have  to graph each relation  decide if it is a ...
 Math  HELP PLEASE!!! I'm having some trouble with this question on my Maths hw...
 precalculus check immediately  suppoe f is a function with domain [1,3]and ...
 algebra  Can someone check my answers please and if Im wrong please explain. 1...
 Algebra  23. The ___ axis represents the independent variable. X? 21. Name the ...
 Math (Domain and range)  Evaluate the function f(x)={9x+5, x<0 {9x+6, x>(...
 algebra  1 (a) A function passes through the points (0, 5), (1, 0), (2, 7). ...
 MAth  how do i find the domain and range of equations? example: f(x)=ab.solute ...
 AlgebraI'm still stuck  The onetoone function f is defined by f(x)=(4x1)/(x...
More Related Questions