Question 30529
IS IT ...y= (3x-7)/(2x+8)....PLEASE PUT BRACKETS TO MAKE IT CLEAR....AS YOU PUT IT ,IT MAY MEAN
1...y= (3x)-7/(2x)+8...OR
2...y= (3x)-(7/2)x+ 8....OR 
3...y= (3x) - 7/(2x) + 8........ETC.....
GOING BY y= (3x-7)/(2x+8)....SINCE DIVISION BY ZERO IS PROHIBITED IN MATHS...DOMAIN IS RESTRICTED BY 2X+8=0  OR X=-4...SO ALL VALUES OF X 
EXCEPT X=-4 IS THE DOMAIN.....
FOR THIS DOMAIN WE FIND THAT AS X TENDS TO INFINITY...
Y TENDS TO 3/2...SINCE 
y= (3x-7)/(2x+8) = {3-(7/X)}/{2+8/X)}...AS X TENDS TO INFINITY ....
Y= (3-0)/(2+0)=3/2
SO RANGE IS 3/2 TO INFINITY AS X VARIES FROM - INFINITY TO -4 AND 
3/2 TO -INFINITY AS X VARIES FROM -4 TO INFINITY.
SEE GRAPH BELOW TO UNDERSTAND 
{{{ graph( 600, 600, -50, 50, -5, 5, (3x-7)/(2x+8)) }}}