Question

find domain and range
F(a) = √3-x^2​

Answer 1

Answer:

Step-by-step explanation:

y

=

√

x

2

−

3

x

+

2

=

√

(

x

−

1

)

(

x

−

2

)

;

Domain: under

root should be  

≥

0

∴

(

x

−

1

)

(

x

−

2

)

≥

0

When  

1

<

x

<

2

sign of  

y

is  

(

+

)

(

−

)

=

(

−

)

∴

<

0

Therefore for  

1

<

x

<

2

;

y

is undefined .

Domain:  

x

≤

1

and

x

≥

2

or

x

∣

(

−

∞

,

1

]

∪

[

2

,

∞

)

Range:  

y

≥

0

or

y

∣

[

0

,

∞

)

since square root of positive quantity

is also positive.

graph{(x^2-3x+2)^0.5 [-10, 10, -5, 5]}