Consider the following functions. f(x) = x², g(x) = /x - 6 %3D

Q: World Population A low-projection scenario for worldpopulation for the years 1995–2150 by the…

A: Given equation,  y = -0.36x2 + 38.52x + 5822.86 The above equation describes World population in…

Q: Let h(x) = f(x)g(æ). If f(x) -3x? – 4x + 2 and g(x) = -x² + 3x +2, what is h' (-1)? Do not include…

A: Given, h(x) = f(x)g(x) f(x) = -3x2 - 4x +2 g(x) = -x2 +3x +2  We have to find h'(-1)

Q: The function f(x) = 2x – 30x + 126x + 2 has one local minimum and one local maximum. This function…

A: The given function is  fx=2x3−30x2+126x+2

Q: f(x) = xlnx    Find the global minimum and global maximun of the function over the domain or show…

A:

Q: Find a formula for the exponentail function passing through the points (-2,40) and (1,5)

A: The general equation for an exponential equation is  y = a(b)x

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

A:

Q: F(x)= 2x+1 , G(x)= x^2-9 What is the domain of f/g ?

A:

Q: 2.x -3 Find the range of the function f (x) =- 4x+5

A: Here the given function is ,                                           fx = 2x-34x+5 It can be…

Q: Determine the area of the region bounded by the given function, the X axis, and the given vertical…

A: Given query is to find the region bounded by pthe curve from x = 1 to x  = 4.

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) =    x 3x2 + 2x…

A: We have to find the domain and range of the function…

Q: %3D Subtract the functions: f(x)- g(x) where f(x) = -3x+2 and g(x) = 4x- 2 h(x) = f(x) – g(x) D -…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: 1. Using Calculus, find the intervals of increase and decrease for f (x) x2 – 2x + 4 %3D Discuss the…

A:

Q: (k x+5 ;x-2

A:

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

A:

Q: Find the open intervals where the function is increasing and the intervals where the function is…

A: We will first find the  derivative

Q: Find the domain of the function. (Enter your answer using interval notation) f(x) = x^4/x^2+x-72

A: Given: f(x)=x4x2+x-72

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: For f(x) = (x − 3)(x + 7)2/3, find the intervals on which f is increasing or decreasing and the…

A:

Q: f(x)= { x^2-1, x less than or equal to 32ax-4, x>3Find values of a for f (x) to be a…

A: Since function f(x) is continuous.Therefore it is continuous at every point and also at x=3

Q: x-1 The f(x) = Undefined at x = -3 3-x

A: Clearly we know that function is not defined where denominator = 0 Or, 3 - x = 0

Q: Determine the intervals of concavity for the graph of the function f (x) = xe^x.

A:

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: 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: 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: f(x)= sqrt(x) and g(x)=4-x2 Find (f/g)(x).

A:

Q: Find the open interval(s) where the following function is increasing, decreasing, or constant.…

A: We have the given function as, q(x)=−3|x+4| On plotting the graph of the above function

Q: Find the (implied) domain of the function. (Enter your answer using interval notation.) g(x) = The…

A:

Q: The function f(x)=−2x3+30x2−96x+4 has one local minimum and one local maximum. This function has a…

A: Local Maxima and minima

Q: Electrical generation from wind turbines (large "windmills") is increasingly popular in Europe and…

A:

Q: Find the domain of the function G where G(x) = (2x/x-9)

A: We need to find the domain of the function G where G(x) = (2x/x-9). So,  The domain of a function is…

Q: Find the domain and range of the function. Use a graphing utility to verify your results. (Enter…

A:

Q: What key features do the functions f(x) = 12% and g(x)=√x-12 have in common? O Both f(x) and g(x)…

A: f(x)=12xDomain=-∞, ∞Range=0,  ∞f(x) is increasing in its domaing(x)=x-12x-12≥0x≥12Domain=[12,…

Q: F(x)=x+7 & g(x)=2x-3 what is (f-g)(x)

A: Givenf(x)=x+7 & g(x)=2x-3

Q: 1 Domain Find the domain of the function. 55. f(x) 56. f(x) = x - 3 Зх — 6

A: Domain: 55.f(x)=1x-3At x=3 the function f(x) will be discontinuous.So the domain of f(x) is…

Q: find the maximum or minimum value of the function  g(x)= 100x^2-1100x

A: The second derivative test  Let f(x)  be the given function and c be the critical point of f. If…

Q: f(x) = 9x + 8, g(x) = x2 + x (a) f ∘ g (f ∘ g)(x) Find the domain

A: f(x) = 9x + 8, g(x) = x2 + x (a)    f ∘ g (f ∘ g)(x) Find the domain

Q: f(x) = x2 - 16 / x² -3x - 4 x (a) what is domain (b) where is it undefined (c) give value for f(4)…

A:

Q: Find the vertex and the axis of symmetry of the graph of the function. f(x) = 3x2 − 3 vertex :…

A:

Q: f(x) =6x-2 and g(x)=2x -1 evaluate the composite function f[g(0)]

A: Given functions

Q: Find the open interval(s) where the following function is increasing, decreasing, or constant.…

A: Consider the following function: wx=x+32-3=x2+6x+9-3=x2+6x+6 Differentiate wx with respect to x:…

Q: (g o f) (x) f(x) = 4x² - 7x - 1 g(x) = x + 5

A: Given query is to find indicated composite function.

Q: Finding the difference quotient F(x)= -x2+2x-5

A:

Q: 1. f(x) = x* – 2x² – 8 a. f(-x) = b. Is the function even, odd, or neither? 2. f(x) = -3x +x³ + 2x…

A:

Q: The function f(x)=2x^3−30x^2+54x+1 has one local minimum and one local maximum. This function has a…

A: See the details solution in below

Q: x-4 ,X5 Given: f(x): , find the value of k that will make f continuous on (-00,00) kx2 - 24x + 46…

A: Solution.

Q: The function f(x) = – 2x³ + 27x² 48x + 7 has one local minimum and one local maximum. This function…

A:

Q: - Domain Find the domain of the function. 61. f(t) = V - 1 63. f(x) = VT- 2r 62. g(x) = V7 – 3x 64.…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The function f(x) = 2x3 – 30x2 + 126x + 2 has one local minimum and one local maximum. This function…

A: The function is given as, fx=2x3-30x2+126x+2 Differentiate w.r.t. x,…

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.