Use the four functions given below to determine the specified information in problems 1-14. if a < -2 if - 25a<1 if a 21 4a-3 a(x) = ( - 2)2 + 5 b(a) = - e(x) = d(a) -3-6 16

Q: QUESTION 3 Differentiate the following functions a) x7+2x5−3 x4+5 x3+10x−3 b) e(x+2)

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Q: Use the four functions given below to determine the specified information in problems 1-14. 4.r -3…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: I need help with number 40

A: Definition:

Q: Suppose f(x)=x4+3x+1f(x)=x4+3x+1. In this problem, we will show that ff has exactly one root (or…

A: Solution Given:-         fx=x4+3x+1         Interval -5, -1

Q: In Problems 49-60, the function f is one-to-one. Find its inverse and check your answer. Graph f. f,…

A: Consider the function: fx=3x. Find f-1x. Let y=fx. y=3x. Solve for x. x=y3 Replace y by x and x by…

Q: In Problems 57 and 58, use the functions f and g to find:(a) f ∘ g (b) g ∘ f(c) the domain of f ∘ g…

A: 57.f(x)=ax+b and g(x)=cx+d58. f(x)=ax+bcx+d and g(x)=mx

Q: If f and g are functions of time, and at time t = 3, f equals 8 and is rising at a rate of 3 units…

A: From the question we have  f(3)=8   and  dfdtt=3=3 i.e f'(3)=3 Similarly, g(3)=6   and  dfdtt=3=8…

Q: In Problems 39-46, find the following for each function: (a) f(0) (b) f(1) (c) f(-1) (d) f(-x) (e)…

A: (39)    f(x) = 3x2 + 2x - 4       (a) f(0) = ? (b) f(1) = ? (c) f(-1) = ?

Q: Problems 15-19, Consider the function f (x) = 3x2 – 30x + 27. 15. Find the area of the region…

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Q: In Problem 8, (a) verify that the function is one-to-one, and (b) find the inverse of the given…

A: 1, 2, 3, 5, 5, 8, 6, 10 a). Clearly each element in the domain is related to unique element in the…

Q: Problem 1.1 Evaluate the function f(x) simplify: (a) f(6) (b) f(-6) (c) ƒ(r²), r‡0 = at the the…

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Q: In Problems 33–44, determine algebraically whether each function is even, odd, or neither. 34. f(x)…

A: Functions are given, we have to find it is odd , even or neither Note: we are answered with first…

Q: In Problems 61-72, the function f is one-to-one. Find its inverse and check your answer. 4 61. f(x)…

A: (61) The least condition for an function have its inverse is that the function should be one to one…

Q: Problem 7: For the given functions / and g, find the following functions and their domain. a(x)…

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Q: In Problems 29–40: (a) Find the domain of each function. (d) Based on the graph, find the range. (b)…

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

Q: Problem 3 Evaluate and simplify f'(x) = xe" x+1

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Q: f(x + h) – f(x)h + 0, for each function. Be sure to simplify. A In Problems 79-90, find the…

A: "Since you have asked multiple questions we will solve the first question for you if you want…

Q: In Problems 5–7, find f° g. g ° f.f° f, and g ° g for each pair of functions. State the domain of…

A: f(x)=2-x , g(x)=3x+1

Q: In Problem ,find the following for each function.(a) f(0) (b ) f(1)(c) f(-x) (d)f(x+1)(e) -f(x) (f)…

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: Question 8 Describe the long run behavior of f(x) = (x- 4)(x + 3)°(x – 1)²: | As x - o, f(x) → As x…

A: Solution

Q: Question 8 Evaluate the piecewise function at the given value of the independent variable. f(x) =…

A: Topic = Functions

Q: In Problems 23–28, answer the questions about the given function. x² + 2 26. f(x) = x + 4 23. f(x) =…

A: "Since you have posted multiple questions we will solve the first question for you. If you want any…

Q: In Problems 29-44, for the given functions f and g, find: (b) gof (c) fof (d) g°g (a) fog State the…

A: Note:- We’ll answer the 29th question since we answer only one question at a time. Please submit a…

Q: In Problems 63 and 64, use the functions f and g to find: (a) fog (c) the domain of f°g and of g • f…

A: 63. f(x)=ax+b ; g(x)=cx+d64. f(x)=ax+bcx+d ; g(x)=mx

Q: Problem 3: Find (i) f'(x) and (ii) f"(x) of the following functions. 6x4-√x , c) ƒ(x) = e4 – 5e-5x -…

A: As per the rules of the company we can answer only the first question and rest can be reposted.

Q: I need help with number 35

A: The left side is a line joining (-1,1) and (0,0).We will find the equation of the line. (used…

Q: In Problems 21–24, find the largest interval on which the function f is increasing and the largest…

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Q: 3, Review Exerclses In Problems 1-3, for each pair of functions f and g, find: (b) (gof) (-2) (a)…

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Q: In Problems 5 - 6, f"(x) is known. Find f(x) through anti-decrementation twice. Note that in this…

A: Topic:- application of integration

Q: For f(x) and g(x) given in Problems 35-38, find (a) (f + g)(x) (b) (f- g)(x) (c) (f g)(x) (d)…

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

Q: In Problems 67-72, find the absolute maximum and minimum, if either exists, for each function on the…

A: The given function is fx=x3-9x2+15x+21.  A  0,6(B)  -2,5C  2,7

Q: Problem 2: Evaluate h(-4), h(0), h(3), and h(5) given the piecewise function (x²-10, 5– x², I 3 h(x)…

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Q: In Problems 27–36, verify that the functions f and g are inverses of each other by showing that…

A: Incase of inverse of a function, x and y-coordinated get interchange and graph is taken as mirror…

Q: In Problems 53–60, does the equation specify a function with independent variable x? If so, find the…

A: 59)    x3-y2 =0                  y2 = x3                   y =x32 = x3           This…

Q: nctions For each of the functions in Problems 30 to 33, find f + g, fg, and, flg. Also give the…

A: Given f(x) ,g(x) are given now we have to  find f+g,fig,f/g as shown below

Q: In Problems 27-36, verify that the functions f and g are inverses of each other by showing that…

A: Since you have posted multiple questions in this question i can do first three questions as per our…

Q: If the function y=e^−5x is vertically compressed by a factor of 6, reflected across the y-axis, and…

A: Answer is mentioned below

Q: If f (0) = -3 and f '(x) < 5 for all x, how large can f (2) possibly be?

A: Given f0=-3f'x≤5      for all x To find maximum value of f2

Q: Use the four functions given below to determine the specified information in problems 1-14. if a< -2…

A: Now,

Q: 1 If a parent function x) = is compressed horizontally by a factor of 5, what would be the equation…

A: The horizontal stretch or shrink in the graph of y=f(x) is represented by the transformation…

Q: 4) f''(x) = -2x + 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (x + 7 |x – 2| x² – 2x x<-3 - 3<x<-1 f(x) = -1<x<3 2х — 3 3<x

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Q: C In Problems 75–80, find and simplify each of the following, assuming h # 0 in (C). (A) f(x + h)…

A: We have to solve given problem:

Q: If the function defined by 6x + 144 x # -24 g(x) = x + 24 k is continuous at x = -24 x = -24, then…

A:

Q: evaluate the following for f(x)=x^2-4x+1 problems build from one to the next, so anwser for the…

A:

Q: In Problems 23–38, for the given functions f and g, find: (a) fog (b) gof State the domain of each…

A: As per our guidelines I am solving only first question with all sub parts kindly resubmit other…

Q: In Problems 11–26, graph each of the functions using the graphs of functions f and g below. f(x)…

A:

Q: Problem 3. For the function f(x) = 6x²-x-2, evaluate and fully simplify each of the following: a)…

A: The solution is given as

Q: Differentiate the functions stated in questions 1 to 7 with respect to x. 1. y= 3x +2- Vr 2. y=e2r,…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.