Question

13. Find the range of the function f(x)
x2 - 4
X-2​

Answer 1

Answer:

The domain of the function is

(

−

∞

,

2

)

∪

(

2

,

+

∞

)

.

We can simplify in this way:

y

=

(

x

−

2

)

(

x

+

2

)

x

−

2

=

x

+

2

.

Since the range of

y

=

x

+

2

is

R

, seems that the range is

R

, but we have that

x

≠

2

so the range is

y

≠

4

, because the graph is a line without the point

P

(

2

,

4

)

.

graph{(x^2-4)/(x-2) [-10, 10, -5, 5]}