Question

domain of the function f(x)= (x^2+2x-8)/x-2 is

Answer 1

Answer:

We notice that the denominator is x-2

When x = 2, the the denominator becomes 0, and the whole fraction is in the form m/0, which is not defined.

So x can be any value other than 2

=> Domain = R - {2}

Answer 2

Answer:

f(x)=x^(2)-2x-8

Step-by-step explanation:

Vertex:  

(

1

,

−

9

)

Focus:  

(

1

,

−

35

4

)

Axis of Symmetry:  

x

=

1

Directrix:  

y

=

−

37

4

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

−

1

−

5

0

−

8

1

−

9

2

−

8

3

−

5

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

1

,

−

9

)

Focus:  

(

1

,

−

35

4

)

Axis of Symmetry:  

x

=

1

Directrix:  

y

=

−

37

4

x

y

−

1

−

5

0

−

8

1

−

9

2

−

8

3

−

5