What is the domain of f(x) = 9-x²?

Q: Let f (x) be the number of people living within x miles of the center of New York City. (a) What…

A: (a) Here f(x) represents number of people living within x miles from the center of New York city.…

Q: What is the point of inflection for the function f(x) = x³ + 2x² – 3x - 4? %3D

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Q: Consider the function h(x) = (2x3 - 5)5 + (2x3 - 5)4. Write h(x) as a composite function, f ( g…

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Q: What is the end behaviour for the function f(x)=-3logx

A: The given function is f(x)=-3log x

Q: Find the domain of the function: f(x) = 3(x - 4)

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Q: 4 5 -4 -3 -2 -10 3 4 5 -2

A: The given function is an absolute value function. The function is 0 at x=1 and at x=1, the function…

Q: Consider f(x) = 3x4 −16x3 +24x2 −9. sketch the function

A: We have to sketch the given function.

Q: What is the domain of the function f(x) = Vx - 3x²?

A: To find the domain of the function fx=x-3x2.

Q: What is the value of f(-1) when f() = 5- 3.

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Q: Is f(x) = 2x3 - 5 a one-to-one function?

A: A function f(x) is said to one one if, fx1=fx2⇒x1=x2

Q: The notation f -1 (x) means the reciprocal of f(x).       True or false

A: Given f-1(x) is reciprocal of f(x).

Q: Describe how the graph of f(x)=√x-2+5 is different from the graph of f(x)=√x. Then graph both…

A: Parent function isf(x)=x

Q: Don't we exlude -3 from the domain because of the value of f(x)?

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Q: Is this function odd or even? why? f(x)-3x3+2х

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Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: Consider the function f(x) = x³ - 36x.

A: The objective of this question is to find the intervals on which the function f(x) = x^3 - 36x is…