Question

Find domain and range of f (x) = 2/x-5????? ​

Answer 1

$f(x) = \frac{2}{x - 5}$

$fill \: the \: x \: value \: as \: 1$

$f(1) = \frac{2}{1 - 5}$

$f(1) = \frac{2}{ - 4}$

$f(1) = \frac{1}{ - 2}$

Hope my answer will help you.

Answer 2

Answer:

Step-by-step explanation:

x

−

5

≠

0

,  

⇒

,  

x

≠

5

The domain is  

x

∈

R

−

{

5

}

To find the range, proceed as follows :

Let  

y

=

2

x

−

5

Rearranging

y

(

x

−

5

)

=

2

y

x

−

5

y

=

2

y

x

=

2

+

5

y

x

=

2

+

5

y

y

Here,

y

≠

0

The range is  

y

∈

R

−

{

0

}

graph{2/(x-5) [-18.02, 18.03, -9.01, 9.01]}