please explain!! how do you find a range in general??
2007-09-05 11:09:26 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The range is the domain of the inverse.
y = 1/x
Find the inverse (switch x's and y's and solve for y):
x = 1/y
xy = 1
y = 1/x
So the inverse happens to be the original function.
The domain of 1/x is all real numbers except x=0 since division by 0 is not allowed.
Therefore the range of y=1/x is all real numbers except for x=0.
In interval notation: (-∞, 0) U (0, ∞)
2007-09-05 11:18:10 · answer #1 · answered by whitesox09 7 · 0⤊ 0⤋
f = 1/x ; for x>0, f is decreasing. that is as xincreases, f(x) decreases.
lim x -> +INF of f(x) = 0, lim x-->0 f(x) = + INF
thus for 0
thus the range is R - {0}.
2007-09-05 18:18:18 · answer #2 · answered by gjmb1960 7 · 0⤊ 0⤋
y=1/x
xy=1
x=1/y
its range is "0 to infinite"
2007-09-05 18:23:50 · answer #3 · answered by Jamil Ahmad G 3 · 0⤊ 1⤋