Question

Find the domain
of the following real
valued functions.
:) F (x) = √3+X + √3+X / X
:) F (x) = √4x-x²​

Answer 1

Answer

f(x)=

4x−x

2

=a

Domains:-4x−x

2

≤0

x(4−x)≤

xϵ[0,4]

⇒x

2

−4x+a

2

=0[a>0]

x=

2

4±

16−4a

2

=1±

1−a

2

⇒4−a

2

≤0

⇒aϵ[0,2]=Range