what s the range of this function f(x) = 1 / (x-2)?

Answer 1

the range of the function is - infinite to infinite

the domain is -inf to inf except 2
explanantion
if x < 2 f(x) is -ve and as x->2 it -> -inf
if x >2 f(x) is +ve and as x ->2 irt-> inf

Answer 2

anywhere in R (real numbers), except for x = 2

because if x = 2 then the function goes to infinity.

If x is a very small amount greater than 2 then the function has a very large value (but not infinite) and as x grows it becomes smaller, and eventually tends to 0.

If x is a very small amount less than 2 then the function has a very large negative value, and as x becomes more negative the value of the function remains negative but becomes very small and tends towards 0.

It is just like 1/x, except that since you subtract 2 from x, you move the graph to the right by 2 units.

hope this helps

Answer 3

to find range assume f(x)=y
therefore
y=1/(x-2)
now express x in terms of y
we get
yx-2y=1
yx=1+2y
x=(1+2y)/y

range : (1+2y)/y>0
therefore y belongs to real numbers and y should not be equal to zero.

Answer 4

All real nos except zero of course.

Answer 5

All real numbers except zero.

Answer 6

10 to infinity

Answer 7

all cmplex numbers except zero....i dont think u hav mentioned x is real