Find fg, f- g, fg, and f/g and their domains. f(x) x, g(x) = 9x Find (fg)(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 Find the domain of (x). (Enter your answer using interval notation.)

Q: Find the open intervals on which the function is increasing or decreasing            f(x) = x2 + 3x…

A: We find f'(x) using the power rule

Q: the domain of the function f(x)=-3x2+2x-3

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

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Q: f(x) = x - 6x + 9x – 6 For this function, on [-1,5] interval, the absolute maximum is 10 and the…

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Q: Find the y-intercept of the polynomial function. f(x) = x2(x - 1)(x - 6)

A: Find the y-intercept of the polynomial function.f(x) = x2(x - 1)(x - 6)

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

A: Given,f(x)=-x2+8x-15

Q: If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval…

A: The answer  given below:

Q: Find (f-g)(x). Simplify the result. f(x) = x²-6x + 3 g(x) = 3x2 - 5

A: Given that, fx=x2-6x+3 and gx=3x2-5.

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: Find the intervals of concavity and the inflection points for g(x)=x^4-54x^2+12x-4

A:

Q: x- 9x + 3x? The limit of the function f(x) : as x approaches negative 3x-4+ 5x2 infinity is equal to…

A: Given  1) f(x)=x3-9x+3x23x-4+5x2 2) A graph.

Q: 5x-2 Let the rational function f be defined as R(x) 3x-1

A:

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

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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: 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: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = √ (3 -e2x)

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Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= 2x^3 -3

A: Topic  =Functions

Q: Determine the open intervals on which the graph of f(x) = -3x^2 - 2x + 7 is concave downward or…

A:

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: The function f(x) = – - 6x³ + 43.56x² + 353.6298x – 0.32 is increasing on the open interval ( It is…

A: Given the functionf(x)=−6x3+43.56x2+353.6298x−0.32

Q: Find the intervals of increase and decrease for the given function. f (x) = 3x5 - 20x³ - 5

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Q: B/Find the oblique asymptote of the function f(x) -3x²+2 x-1

A: To find The slant asymptote of f(x)

Q: Find the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Find the asymptotes of the functionf(x)=3√x3−x2.

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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: x - 7 If f(x) = Vx – 3 and g(x) find the domain x - 4 of

A: Given: f(x)=x-3 and g(x)=x-7x-4 To find: Domain of fgx.

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: The axis of symmetry of the graph of f(x)=2(x+9)2-3 has equation...

A: Given,

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: Find the domain and range of the function using interval notation. G(x) = -4x – 3.

A: Find the domain and range of the function using interval notation. G(x) = -4x – 3.

Q: The function f(x) = 2x – 33x2 + 144x +7 has one local minimum and one local maximum. This function…

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Q: for g(x)=2x-1 Identify the domain and range of the function. Identify all intercepts for the…

A: Given: The function, gx=2x-1.

Q: x - 2x +4x–8 Draw a graph of the function R(x) = Justify all major features using limits. x -11x+18

A: To solve the following problem

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: Find the domain of the function.   f(x)=3x−3 What is the domain of​ f?

A: Given,          The function is fx=3x-3.

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 asymptotes of the functionf(x)=x2−2x−3 / x.

A:

Q: The function f(x) – 2x° + 27x² – 84x + 4 has one local minimum and one local maximum. || This…

A: Maxima and Minima Question

Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x2 - 4x - 32…

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Q: Find the point (x.y), at which the graph of y=5x +6x-3 has a horizontal tangent. The function y = 5x…

A: Topic:-  application of derivatives

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) =  1 x2 + 3x − 4

A: The given function is f(x)=x2+3x-4

Q: Find the x- and y-intercepts of the graph of the function f(x)=−2|x+5|+2. Enter your answers as…

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Q: Find the horizontal asymptote of f(x)= - 2x - 4x^3 - 1 / - 5x^3 + x^2 + 3

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

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Q: Find the asymptotes of the function f(x)=x2−2x−3/x

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Q: Find the intervals of concavity of the function g(x)=2x4+9x3

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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: 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

Q: f (x) = x + 2x - 8x2 - 18x - 9, Which graphs shows the function -10 -15 -15

A: Here we have to graph the function        f(x) = x4 + 2x3 - 8x2 - 18x -9 .