Question

find the domain of f(X)=x2-9/x-3​

Answer 1

Answer:

domain is all real number except 3

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Answer 2

f ( x ) = x 2 − 9 x − 3

f(x)=x2−9x−3 is not defined for x – 3 = 0, i.e., x = 3.

∴Domain of f is R – {3}. Let  y = x 2 − 9 x − 3 y=x2−9x−3 ⇒ y = x + 3 (for x ≠ 3)

∴  y will take all real values of x, except 6, when x ∈ R – {3}.  

∴  Range of f = R – {6}