Find f+g, f-g, fg, and flg and their domains. f(x) = V 25 - x2, g(x) = Vx+3 Find (f+ g)(x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (f - g)(x). Find the domain of (f-g)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find

Q: . Algebraically find the domain of the function in interval notation. f(x) = v3 + 5x

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Q: The function f(x) = 2x²-3x+ k has a minimum -Find the value of k. 8. value of-

A: The function fx=2x2-3x+k has a minimum value 78. We have to find the value of k.

Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

Q: find domain V2 + x 65. g(x) 66. g(x) 3 - x 2r2 + x - 1 67. g(x) = V – 6x 68. g(x) = Vx² – 2x – 8

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Q: function

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Q: Find the absolute maximum and absolute minimum values of f(x) = x³ – 6x2 +7 on the interval [-3, 5].…

A: Given  fx=x3-6x2+7      ......... (1) We have to find the absolute maximum and the absolute minimum…

Q: Find the critical point of the function f(x) = 3x² – 12x Answer:

A: We will find out all the required values.

Q: Find the X value of the pints of inflection on F(x) = X3-6X2+12X and discuss the concavity of the…

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

A: x is in thousands. So 6000 means x=6 x is between 0 to 6   We find the critical points of the…

Q: b. f(x) = x - 3 x² – 9 2-

A: The given function is,   f(x)=x-3x2-9

Q: For what x does the function g(x) = 10 + 40x - x2 have its maximum value?

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Q: Given; f(x) = x3 - x2 - 9x + 9 , Solve; a. Use the Leading Coefficient Test to determine the graph’s…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

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

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Q: Determine the image of the function - 12x + 27 - f(x) = x2 – 4x + 5 - for all æ E R. Solve the…

A: Given: f(x)=x2-12x+27x2-4x+5  for all x∈ℝTo determine the images of f(x)i.e, range set of f(x)

Q: 4. Sketch a graph of f(x) = x2 + 2x-3 and use the graph to solve: x2 + 2x-3 <0. Write your answer in…

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Q: the intervals of concavity and any points of inflection for the function: f(x) = 16x2

A: Here we have to find the  intervals of concavity and any points of inflection for the function:…

Q: for what value of x does the function g(x)=1/3x3-2x2 attain the point of inflexion?

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Q: Find the all maximum and minimum values of the function f(x) = 4x3 – 6x2 + 8, given the domain…

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Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A: Plot the labelled graph for y.

Q: Use the function’s equation, f(x) = -x2 + 14x - 106 and not its graph, to find; a. the minimum or…

A: we have been given  f(x) = -x2 + 14x - 106 we have to tell the minimum and maximum value . also we…

Q: Find the point at which the line f(x)=-3x+1 intersects the line g(x)=3x+7

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Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl - 4.

A: Given function is fx=x. To transform gx=x-4 from the graph of fx=x. Since the graph of g has -4,…

Q: Find the absolute maximum and absolute minimum values of the function f(x) = x³ – 12x² – 27x + 10

A: to find the critical points take derivative=0

Q: (x* -3x,ifx 22 Find g(x). g(0). g(-2) x+2, ifx < 2

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Q: 7. Determine whether f(x) = -2r? + 12x + 3 has a maximum or minimum value. Then find the maximum or…

A: Given,         f(x)=-2x2+12x+3

Q: Given the function f(x)=-2x' +3x² + 36x , a) Find the intervals of increase or decrease, . b) Find…

A: Answer to the question as follows:

Q: Determine the points of intersection of the graphs of f(x) = x2 + 5x + 1 and g(x) = - 2x2 - 11x - 4…

A: To find the point of intersection, we need to equate both the functions to each other. Then after…

Q: ²+6x +8 a. f(x) : x + 2

A: I am attaching image so that you understand each and every step.

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

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Q: Find the value of c so that the domain of f(x) = √c - x² will be [-5,5].

A: The function f(x)=c-x2 has the domain -5,5

Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

Q: The function f(x) = -(x + 3)² - 4 has a vertex of (-3, -4).

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Q: What are the x-intercepts of the graph of, f

A: f(x) = x2 + 4x -21 When we try to plot it on a X-Y plane, we write y = x2 + 4x -21 When we are asked…

Q: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = 2lxl.

A: Solution: Consider the graph of function f(x) = x which shows in the pink color below. Now, define…

Q: f (x) = 3c³ -3x² + -3 at x= - 1

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Q: Find (f-g)(x) if f(x)=sqrt16x4 and g(x)=3x3-3x-5. Choose from the answers below.…

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Q: inflection point if any of the function  g(x)=9x^3 - 4x

A: Inflection point of given function is (0, 0)

Q: Find the local extreme values and points of inflection of the function: f(x) = -2x'+6x-3.

A: Given,     f(x)=-2x3+6x2-3

Q: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local…

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = x3 −…

A: Consider the following function: fx=x3-9x2+24x-18 Differentiate fx with respect to x:…

Q: The absolute Extrema of the function f(r) = -V-x² + 8x- 15 on its domain are .2

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Q: Use the function’s equation, f(x) = 2x2 + 12x + 703 and not its graph, to find; a. the minimum or…

A: The function is given as, fx=2x2+12x+703 a. Solve for the critical point as,…

Q: The function f(x)=-4x3-30x2+72x-6  is increasing on the interval ( ?, ?) It is decreasing on the…

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Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x² - 8x - 20

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Q: Determine the image of the function x2 – 12x + 27 - f(x) = x² – 4x + 5 for all æ E R. Solve the…

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Q: Find the maximum value or minimum value for the function. f (x ) = -x2 + 6x + 4

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Q: Find all x-intercepts of the function. Express your answer as a list of x-values. f(x) 6x3 + x2 42x…

A: To find x-intercepts we take f(x)=0 Then we factories the equation