Question

The domain of the function f(x)=√2x-x² is (a) [0,00) ) (-00, 2) (b) (-∞, 2] (c) [0, 2] (d) (0,​

Answer 1

Answer:

Step-by-step explanation:

f(x)=  

2−2x−x  

2

 

​

 

2−2x−x  

2

≥0

2−2x−x  

2

=0

x  

2

+2x−2=0

x=  

2

−2±  

4+8

​

 

​

 

x=  

2

−2±  

12

​

 

​

 

x=−1±  

3

​

 

∴−1−  

3

​

≤x≤−1+  

3

​

 

∴ Damian of f(x):−1−  

3

​

≤x≤−1+  

3