State the restrictions on the domain of the function. (* +7)(x- 9) f(2) = (x - 3)(x +7) O x # 3 or 9 x + 3 or -7 O x + -3 or –9 O x + -3 or 7 O x + 3 or –7 or 9

Q: What is the value of g(x) when x = 3 in the piecewise function, g(x) = x2 + 1 if x > 3 and g(x) =…

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Q: What is the domain of the function 3 f(x) = V4-x a. all numbers greater than 4 • b. all numbers less…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: 2x +1 Calculate the domain of the functionf(x)= 12-x- X -8

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Q: Simplify and state the domain for the function. f(x)=-3x2-9x+30/x-2

A: f(x)= -3x2-9x+30x-2 ⇒f(x)= -3x2x-2-9xx-2+30x-2 ⇒f(x)= -3x3-3x2+18x+30x-2

Q: find th domain of the function    h(x)= x-4/x3-25x

A: We are given : h(x) = (x - 4)/(x3 - 25x) We are required to find the domain of the function.

Q: What is the value of k in the function f(x)=112-kx if f(-3)=121

A: Put x= -3 in given function and solve for k,

Q: Find the maximum or minimum value of the function. f(x) = 3 - 4x - x2

A: f(x) = 3 - 4x - x2

Q: the function. 4) ((x) = fx+3, for x>0 [x², for x ≤0

A: Given above function is  t(x)=x+3, for x>0x2, x≤0 The objective is to graph the curve.

Q: Find the domain of the function.

A: Given: fx=2x3-5x2+x-6. for finding domain of given we have to make sure that denominator not has to…

Q: Find the domain of the function: f(x) = x2 + x - 12

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Q: What values of x would be found in the in the domain of function f(x)=10/x-2

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Q: Let f(x) = 7-5x and g(x)- 2x-3, Find g(2.5)

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Q: Find the domain of: f(x) = x2 - x + 5

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Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: => f(x)= ∫ f'(x)dx

Q: The interval for function 5x - 3 < 7- 3x is .2

A: Given : Function 5x - 3 ≤ 7 - 3x 5x - 3 - (7 - 3x) ≤ 0 5x - 3 -7 + 3x ≤ 0 8x - 10 ≤ 0 8x ≤ 10 x ≤…

Q: 21. Find the "natural" domain of the function f(x)= 4x-10x+4

A:

Q: Find the domain of the function. f (x) = /-x-7

A: We have to find the domain of the funciton fx=-x-7.

Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

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Q: 4 Find the domain of f(x) x + 3

A: Given:  fx=4x+3 To Find: Domain of the given function fx

Q: The graph of f (x)3-x²-5x+6 has the point (2, -6) on it. O True O False

A: Given statement  The graph of f(x)=-x^2-5x+6 has the point (2,-6) on it

Q: The graph of f(x)3-x-5x+6 has the point (-8, 2) on it. O True O False

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Q: Find f(x) such that f'(x) = 2x4-7x and f(2)=3

A:

Q: Find the function P(x) of a company selling x items is given byP(x)=x3+9x2-15x+13 where x represents…

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Q: What are the zeros of f(x) = (x - 5)(x - 4)(x - 2)? O5, -4, 2 O5, -4, -2 O 5, 4, 2 O5, 4, -2

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Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: The domain of the function f(x) = 10x + 7 /x-4 is OR-(4} OR O R-(0} OR-(7} O R-(10}

A: Given function, f(x)=10x+7x-4

Q: Find the domain of the function. 8 f(x) =- X-14

A: Our Aim is to find domain of f(x)=8/(x-14).

Q: The function f is defined by f:x --> 10-(x-3)² for 2

A: To find: The value of function at . Calculation: Substitute in function.

Q: Find the domain of the function : g(x) = √(x-2) + √(x+3)

A: Find the domain of the function : g(x) = √(x-2) + √(x+3)

Q: Find the domain of the function f(x) = (x2 - 1)/(x2 - 25)

A: To Determine: find the domain of the function  Given: we have a function fx=x2-1x2-25 Explanation:…

Q: The domain and the rang of the - * function In (x - 2) are

A: the log function is not defined for zero and negative numbers so the value of x-1 should be greater…

Q: Find the domain of the function : g(x) = 1 /(x2 + 4) -1/(x2 - 4).

A: Given, gx=1x2+4-1x2-4

Q: Suppose k>0. What is the domain of F(x) =/k² – x² ?

A:

Q: Find the domain of the function. f(x)= x2+4x-5 /  3x2-4x-5

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Q: Describe the concavity of the functionf (x) = x V9 –- x² O The graph is concave down for -3 < x < 0…

A: The given function fx=x9-x2

Q: Find the point of inflection for the function f(x) = 5x - 14x2- 11x+1 O (-2.2, 37.72) O (2.2,…

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Q: Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]U[5,00) O Domain is (-00,…

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Q: Find the domain and range of the function g(x, y) = 8\/- 9y + 27x². %3D Indicate the domain of g in…

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Q: Let f(x) = x + 10 and g(x) = x² – 9. Find the domain of (-) (x)

A: Solution of the problem as follows

Q: For the function if x -1 -3x If f(x) = {0 2x2 + 1 %3D Find f(3)

A: the given functions are piecewise function which are defined  by multiple sub function defined on…

Q: Find the domain of the function using interval notation. f (x) =-2a (x - 2) (x – 5)

A: Simplification of the function helps to find the required domain. Definition of the domain of the…

Q: Which pair of statements describes the end behavior of the graph of the function f(x)= x3 + 2x2²…

A: First draw the curve , it is a cubic curve for large values of positive x, f(x) will be very large.…

Q: Determine all the points of inflections of the function f (x) ex²-2x²-5x + 8

A:

Q: Find the domain of the function f(x) = x2 + x - 12

A: Given function is fx=x2+x-12 The domain of a function is described as the set of input or argument…

Q: 8. A student writes the following for the function f(x) 2 x¯- 8x+8 “ The domain of f(x) is (-∞, -4)…

A: Consider the given function as fx=x-2x2-8x+8

Q: Find the function P(x) of a company selling x items is given by P(x)=x3+9x2-15x-13 where x…

A: Given problem is : Find the function P(x) of a company selling x items is given by…

Q: For the Function if x -1 -3x If f(x) 0. 2x + 1 Find f(-2)

A: Here, function is defined piecewise, and we are asked to find the value of the function at -2,…

Q: Find p(- 2) and p(3) for function p(x) = x ^ 3 - x ^ 5

A: We have given function as  p(x)=x3-x5   We have to find p(-2) And p(3)