>>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