Find the domain y = √1-x + √x-5

Answers 1

>>If f(x) = 1/√(x - 5) , then find the dom

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If f(x)=

x−5

1

, then find the domain and range of f(x).

f(x)=

x−5

1

Domain of f(x)-

x−5>0

⇒x>5

Thus, domain of f(x)=(5,∞)

Range of f(x)-

Let y=f(x)

⇒y=

x−5

1

Squaring both sides, we get

y

2

=

x−5

1

⇒x−5=

y

2

1

⇒x=

y

2

1

+5

Here, y

=0

Thus,

Range of f(x)=R−{0}

Hence the domain and range of f(x) are (5,∞) and R−{0} rspectively

Step-by-step explanation:

Nope

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