Question 8. What is the domain of f(x) = /3 – x? (1:1

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Please help me with question 8

Question 8. What is the domain of f(x) = v3 – x?
Because functions are also sets of ordered pairs (like relations), we can say that f and g are
equal if and only if f Cg and g C f.
Definition 4. Two functions f : A → B and g : A → D are equal if f
g (as sets).
Notice also that the domains of two equal functions must be the same. We characterize equality
in an equivalent manner below:
Theorem 1. Two functions f and g are equal if and only if
1. Dom(f)
Dom(g) and
2. for all x E Dom(f), f(x) = g(x)
Question 9. Consider the real functions:
x² – 4
f(x) =
g(x) = x + 2.
х — 2
Are these functions equal?
Transcribed Image Text:Question 8. What is the domain of f(x) = v3 – x? Because functions are also sets of ordered pairs (like relations), we can say that f and g are equal if and only if f Cg and g C f. Definition 4. Two functions f : A → B and g : A → D are equal if f g (as sets). Notice also that the domains of two equal functions must be the same. We characterize equality in an equivalent manner below: Theorem 1. Two functions f and g are equal if and only if 1. Dom(f) Dom(g) and 2. for all x E Dom(f), f(x) = g(x) Question 9. Consider the real functions: x² – 4 f(x) = g(x) = x + 2. х — 2 Are these functions equal?
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