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what is the domain of function f(x)= (√(x+a²) - a)/x a>o

             what is the domain of function


f(x)= (√(x+a²) - a)/x                   a>o                                           

Grade:12

1 Answers

vikash chandola
21 Points
10 years ago

f(x)=(√(x+a²) - a)/x

x cant be 0 bcz in that case this function will not defined……..(1)

 

part the function inside under root should be positive

(x+(a)^2)>0  since ‘a’  is constant quantity so x> -a^(2)………….(2)

From (1) and (2) we get domain of x belongs to

[-a^(2),+infinity)-[0]

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