Consider the following functions. f(x) = x2, g(x) = /x - 6

Q: A function f is given. f(x) = x2 + 10x + 9 (a) Use a graphing calculator to draw the graph of f.…

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Q: Finding a constant Suppose x2 – 5x + 6 if x + 3 f(x) = х — 3 а if x = 3.

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) =…

A: gx=9x27x Critical numbers are the numbers at which first derivative is zero. So first we find the…

Q: Find f+ g, f – g, fg, and f/g and their domains. f(x) = 3 – x2, g(x) = x2 – 4 Find (f + g)(x). Find…

A: Consider f(x) and g(x) and their domains.

Q: F(x) = 2x + 1 and g(x) = 3x2 - 2 Find (gof)(x) Find g -1(x) if it exists Find f -1(x) if it exists

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Q: Find f+ g, f-g, fg, and f/g and their domains. f(x) = 4 - x, g(x) = x² – 3x %3D Find (f+ g)(x). Find…

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Q: Find all values of x for which the graph of f lies above the graph of g. (Enter your answer using…

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Q: f(x) = x2 /x-3; find f(−3)   Domain:? In interval notation   Range? in interval notation

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Q: f(x) =  2 x ,    g(x) =  x x + 2 Find the domain of  (f ∘ g)(x).  (Enter your answer using…

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Q: Find f+g, f-g, fg, and f/g and their domains. f(x) = 2 – x², g(x) = x² – 9 %3D - Find (f+ g)(x).…

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Q: Find f+g, f- g, fg, and f/g and their domains. f(x) = x² + x₁ g(x) = x² Find (f + g)(x). Find the…

A: See this solution in below with details.

Q: x - 2 Find the domain of g(x) 3 - x ||

A: The given function is, gx=x-23-x The given rational function will be defined for all the real…

Q: Find f ∘ g and g ∘ f. f(x) = 1/x,  g(x) = x + 8   (a)    f ∘ g       (b)    g ∘ f       Find…

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Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1/2x-10

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Q: The function f(x) = x2 - 2x – 5 has domain {-1, 0, , 2x }. Find the range of f (x)

A: To find the range of the given function.

Q: the domain and range of f(x)=1/x

A: Given fx=1x

Q: Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (f…

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Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) =    x +    5 −…

A: given function is                                                          f(x)=x+(5-x) we have to…

Q: x2 - 9 Find the interval where the function x2 + 5 x - 24 is continuous.

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Q: The function f(x)=2x^3−36x^2+162x+7 has one local minimum and one local maximum. This function has a…

A: NOTE: Refresh your page if you can't see any equations. . to find the critical point, take…

Q: Find f+ g, f – g, fg, and f/g and their domains. f(x) = 4 – x, g(x) = x² – 3x Find (f + g)(x). Find…

A: (f+g)(x) is given by, (f+g)(x)=fx+gx=4-x+x2-3x=x2-4x+4=x-22 (f+g)(x)=x-22

Q: 1 and g(x) = 1 Let f(x) 6 Give the domain of fo g(x). Use interval notation and give values using…

A: See attached file for a step by step explanation to find the composite function and domain.

Q: Write the domain of the function f(x)=v3 – x in interval notation.

A: We know that, The domain of a function is the set of input or argument values for which the function…

Q: Find f + g, f − g, fg, and f/g and their domains. f(x) =    49 − x2,    g(x) =    x2 − 16

A: We plug the given functions in the given expressions and simplify them.

Q: Personal expenditures Since 1995, the total personal expenditures (in billion of dollars) in the…

A: Given: fx=40.74x+742.65h(x)=47.93x+725

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) =…

A: To find critical number, we need to find the derivative of the function and then equate it to zero…

Q: Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter…

A: The given function is  x3 − 6x2 + 4 The graph for the function is shown in Figure below.

Q: Find the domain and range of the function. (Enter your answers using interval notation.) f(x) = 2x,…

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Q: Find f+ g, f- g. fg, and f/g and their domains. f(x) = V25 - x, g(x) = Vx+ 1 Find (f+ g)(x). Find…

A: given that f(x) and g(x) .(f+g)(x)=f(x)+g(x). see 2nd step.

Q: Find the value f(-x) for the function f(x)=2/x.

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Q: Find f+ g, f- g. fg, and f/g and their domains. f(x) = x, g(x) = V Find (f+ g)(x). x+Vx Find the…

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Q: f-g Find m (x) and the domain of h f(x) = 2x° + 6x² - x - 3, g(x) = - 4x° + 5x - 18x – 12, h(x) = 2x…

A: Consider the given:

Q: Find f+g, f-g, fg, and f/g and their domains. f(x) = √36x², g(x) = √x + 1 Find (f + g)(x). Find the…

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Q: f(x) = x – 5, g(x) = |x + 5| Find (fo g)(x). Find the domain of (fo g)(x). (Enter your answer using…

A: Since you have asked multi part question, we will solve the first 3 subparts of the question for you…

Q: Find the absolute maximum and minimum values of the function f(x)=−x3+27x−15 on interval (0,∞). If…

A: Given that, The function is following, f(x) = - x3 + 27x - 15 Intervel is (0, ∞) We have to find the…

Q: Let f(x) = x³ + 3x² - 24x + 25. (a) Use the definition of a derivative or the derivative rules to…

A: Given function is fx=x3+3x2−24x+25. a Differentiate fx=x3+3x2−24x+25 with respect to x…

Q: Express the function in the form f∘g: H(x)=4+x

A: We have given Hx=4+x fog means fgx So, fgx=Hx=4+x Therefore, gx=x+4 And fx=x Therefore, we can write…

Q: 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…

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Q: How do you evaluate the function f(x)=x^2+3x-9 with these values: f(4) f(x+9) f(-x)

A: Given that:f(x)=x2+3x-9

Q: x+ 6 ** and g (x) -4x + 1, find the composition / g and specify its domain using interval For the…

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Q: Find  f ∘ g  and  g ∘ f. f(x) = |x|,  g(x) = x + 3 (a)     f ∘ g       (b)     g ∘ f…

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Q: A rectangle is inscribed between the functions f(x) = 3x2 and g(x) = 10 − x2 Determine the maximum…

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Q: Find f+g, f-g, fg, and f/g and their domains. f(x)=√16-x², g(x)=√x+3 Find (f + g)(x). Find the…

A: The given function is: f(x)=16-x2 , g(x)=x+3

Q: find the functions f+g, f-g , fg, and f/g. f(x) = 1 divided by x2 + 9 ; g(x) = 1 divided by x2 -9

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Q: Find the maximum and minimum values of the function f(x) = x 64x x+4 on the interval [0,15]. The…

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

A: To determine: The image of the function . Concept used: Range  or Image: The image of the function…

Q: The function f(x)=−2x^3+36x^2−162x+2 has one local minimum and one local maximum. This function has…

A: use the second order derivative test.

Q: he domain of   f(x)= -9x+1   (Type your answer in interval​ notation.)

A: Givenf(x)=-9x+1

Q: Using types of functions, prove that f(x) = x2+1, h(x) = 2x +1 and g(x) = x2 + x are equal…

A: Given function f(x)=x2+1 Domain of f(x) X ∈ R And range of F(x) F(x) ∈[1, ∞) Given function h(x) =…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) =…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.