Question

Find the domain and range of the function: f(x) = √10-x²​

Answer 1

Answer:

Domain = Real Number

(

R

)

Range =

(

−

∞

,

10

]

Explanation:

As

x

can take any value so domain is real number.

For range We know that

x

2

≥

0

So

−

x

2

≤

0

now add 10 on both side of equation

so equation become

10

−

x

2

≤

10

+

0

So the range is

(

−

∞

,

10

]