Question

Find the domain of the following function ​

Answer 1

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

Answer 2

Answer:

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Step-by-step explanation:

f(x)=

4−x

2

Clearly, f(x) assumes real values for all x satisfying

⇒4−x

2

≥0

⇒−(x

2

−4)≥0

⇒x

2

−4≤0

⇒(x−2)(x+2)≤0

∴x∈[−2,2]

Hence, Domain (f) = [−2,2]