2006-09-07 16:20:45 · 5 answers · asked by molcat2001 1 in Science & Mathematics ➔ Mathematics
The equation can be simplified to
y=1+5/x
which means it's a standard hyperbola that's been been shifted up 1 unit.
The domain is (-infty,0) and (0,infty) (that's the whole x-axis without the zero).
The range is (-infty,1) and (1,infty) (the y-axis without the point 1)
The asymptotes are therefore x=0 and y=1.
2006-09-07 16:25:06 · answer #1 · answered by benmaloney 2 · 1⤊ 1⤋
as you know in the fractions below the fraction can never be 0 .
so domain is all the real numbers EXCEPT zero.
it means
Domain = R - { 0 } , or , (-∞ , 0) U (0 ,∞+).
now range ;
y = (x+5)/ x = x/x + 5/x = 1+ 5/x
y-1 = 5/x
so it means y cant be ' +1 '
Range = R - { +1} or ;(-∞ , +1) U (+1 ,∞+).
good luck.
2006-09-08 04:35:08 · answer #2 · answered by sweetie 5 · 0⤊ 0⤋
The domain of x is -∞ < x < ∞ and x not equal 0.
The range of y is -∞ < y < ∞
Doug
2006-09-07 16:29:10 · answer #3 · answered by doug_donaghue 7 · 0⤊ 0⤋
ive always hated domain and range
2006-09-07 16:54:46 · answer #4 · answered by Anonymous · 0⤊ 0⤋
doesnt make sense
2006-09-07 16:22:54 · answer #5 · answered by sasha 2 · 0⤊ 2⤋