Consider the function f(x)=x+9√−3f(x)=x+9−3 on the domain [−9,[infinity])[−9,[infinity]). the inverse of this function is f−1(x)=x2+6xf−1(x)=x2+6x. a: what is the domain of f−1f−1? b: why must the domain of f−1f−1 be restricted?

Answer with Step-by-step explanation:

We are given that a function

Domain of f(x)=[-9,)

The inverse of given function

a.We have to find the domain of

We know that domain of f(x) is convert into range of and range of f(x) is convert into domain of

If we substitute x=-9 in the given function then we get

Therefore, range of f(x) =[-3,)

Domain of

b.Range  of f(x) is restricted .Therefore, domain of must be restricted because range of f(x) is converted into domain of and range of f(x) is restricted.

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