Question

Find Domain and range of the following Real valued functions.\
3. f(x) = √−

Answer 1

Answer:

given function is: f(x)=x2−9x−3

since the denominator can not be zero.

x−3≠0⇒x≠3

the domain of the function is R−{3}

y=f(x)=x2−9x−3y=(x−3)(x+3)x−3y=x+3 for x∈R−{3}y≠3+3 [f(x) is not defined for x=3y≠6

range of the function is R−{6}

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