14. The function f(x) = |x+2 -3 has an inverse on which domain below? A. (-3,0) B. (-0,0] B. [-2, 0) D. (-∞,∞0) E. None of the above

Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 %3D

A: 7.  There is a removable discontinuity at x=1 and f(1)=4

Q: - { S 1² – 3 if r -1 2. Determine the constant k such that the function f(r) is continuous at r =…

A:

Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax – b -1 < x< 1, x 21 Continuous at x-0

A: from given function , the value of function in between 1 and -1 is ax-b. As x approaches to 0 the…

Q: 1. To show that +2-4= 0is an implicit solution to do Lon the 2y interval (-oo, 4), i. First convert…

A:

Q: 6. Suppose t > 0. Consider the functions f(x) = e* and g(x) = xt. Show that ext for all x > 0, if…

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Q: 7. Now let f(x) a. f(1) = b. f(1+h) = C. = ƒ(1+h) - f(1) h *+¹ and h ‡ 0. Compute the following and…

A: Given f(x)=x+1x, And h≠0

Q: Which of the following graphs (a)-(d) could represent an antiderivative of the function shown in…

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Q: -f(3) for 01 -.01 -1 neone now told you that the derivative 1) of f(x) at x = 3 was an integer, wha

A: Please refer to the image below

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as…

Q: 1. Given that f(x)=x² -2x and that g(x)= x-15: A. State (g•f)(x) and (g+f)(x).

A:

Q: 29. If f(x) = Eo(k + 1)¿x* for x E (–1,1) then f"(0) = 12.

A: Here, we differentiate the given function and check whether it is true or false.

Q: 1. Find the first 3 iterates of the function f (x)= x-4 when xo =-11. O -11, -15, -19 O -7, -3, 1 O…

A: We have to find the first 3  iteration

Q: 9. 6) Suppose that g is continuous and that g(x) dx = 2 and g(x) dx = 16. Find g(x) dx.

A:

Q: 6. Determine all values of x at which the function is discontinuous. x2- 2x +5 f(x) = x2-4x 0, 4 O…

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Q: The domain for the function ex y = x ln(3 - x) is {x/x 3} O

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Q: The function f(x) = x + 1/x is O Decreasing on (0,1) O Increasing on (0,1) O Increasing on (-1, 0) O…

A: Answer is written below

Q: 8.7a | Evaluate a radical function Given the function: f(x) = V3x -4 Find f(0) -2 2 Null set COOO

A: Square root function is defined for x greater than or equal to 0.

Q: 11. Suppose that the equation g(x, y, z) = 0 determines z as a differ- entiable function of the…

A:

Q: 11. Suppose that the equation g(x, y, z) = 0 determines z as entiable function of the independent…

A:

Q: iii. Does there exist a function x e X such that 50) = f + [ e*: e x(s) ds x(1) = 1² for every t e…

A: It is given that X=C0,1 with the following norm, x=maxt∈0,1 xt The map T:X→X defined as follows:…

Q: 1 - t Let F(x) = dt for -o << x < +∞ t2 + 24

A:

Q: 7. Give an example of two functions h(x) and g(x), such that (h o g) (x) does not exist. E answer.

A: We have to explain by example in this question.

Q: (2) The real part of Syy (@) and the real part of Syx (@) are even functions of o, i.e., Re[Sy (@)]…

A:

Q: 8. Given the function h(x)=Vx² - 4 +Vx+2, find h(2), h(0), and h(-x).

A: h(x) is given. We have to find h(2), h(0) and h(-x)

Q: -2 x< -1 Q1)a) For what values of a and b is g(x) = ах — b -1<x<1, x21 Continuous at x= -1

A: The suitable formula for continious       LEFT HAND LIMIT = RIGHT HAND LIMIT

Q: 14. If f(x)= x+4 and h(x)= 4x-1, find function g(x) such that gof =h. %3D

A: Given that , fx=x+4 and nx=4x-1We have to find gx such that got=h

Q: 5. Find the x-coordinates for all points of discontinuity for f(x)- 「X316, xśl x〉 1 2 c. 1, 32d.…

A: First we check the limits as x approaches to 1 from left side and right side .

Q: AT 03/De fine h(x)-P(x)g(x)-1 Naw suppose f(2)=7, P(2)= -5, Naw suppose f(2/=7,f'(2)--5, g(x)…

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Q: Sketch a graph of the function f(x) cos(z). -7/4 T/4 7/2 37/4 57/4 37/2 Z7/4 -1 -2-

A: We have to Sketch the given function

Q: The function f(x) = x + 1/x is 2p O Decreasing on (0,1) O Increasing on (0,1) O Increasing on (-1,…

A:

Q: if x 2 1. Determine the constant k such that the function f(x) = is continuous at x = 2.

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: 9) The Wronskian of the functions f(x) = -5, g(æ) = 7x² y h(x) = e3 is given by a) W(f(x), g(x),…

A: The details calculation is given below

Q: 1. Find the domains of the following functions. x2 - 2x 2.x-3 (a). f(x) = (b). f(x) = (c). f(x) = 3…

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Q: 1- x x + 2 (x² – 4 0 < x< 1 1 < x < 3 x 2 3 Find all the points of discontinuity of the function…

A: Here we have to find all the point of discontinuity of the function S(x).

Q: 1. Given that f(x)=x²-2x and that g(x)= Vx-15: A. State (g f)(x) and (g+f)(x).

A: We will find out the required solution.

Q: 8. Suppose that g is the inverse of f and that both f and g have nonzero derivatives up to order…

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Q: 1/ Find the domain of the following functions : 1 1) f(x, y) = x²+y²+z²+16 2) f(x,y) = In(9 - x² –…

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Q: If ɛ ER and the function f(x) = ex – 1+ x² is increasing x E R, show also that e >

A: Since f is increasing hence f'(x) &gt;0 for all x

Q: A2. b. Given the two generating functions f (x) = and g(x) = find the (1-x)2 (1-x)2 generating…

A:

Q: 2. Find the value of k so that the function defined by f(x) Sx² + 20 x 5 continuous at x = = 5.

A: We know that, a function fx is said to be continuous at x=a if and only if Left hand limit=Value of…

Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b -1<x<1, 3 x21 Continuous at x=0

A: F is continuous at any point then left hand limit is equal to right hand limit. if limit is not…

Q: Sketch a graph of the function f(æ) = – sin(x). -T/4 T/4 /2 3n/4 5t/4 3n/2 元 7/4 -1

A: Given: A function, fx=-sinx. -sinπ4 -32 -sin0 0 -sinπ2 -1 -sinπ 0 -sin3π2 1 -sin2π 0…

Q: You decide to create the digits of a decimal number y between 0 and 1 using the function f(n) = 3n +…

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Q: 1. Given that f(x)=x² - 2x and that g(x)=Vx-15: A. State (g•f)(x) and (g+ f)(x).

A:

Q: Algebraically show that each of the given combinations are equivalent to the given functions. If…

A: This question can be solved using the concept of multiplication of two algebraic function.

Q: 10 4r The function f(x) has a removable discontinuity at x = 0. To remove the discontinuity, f(0)…

A: Removable discontinuity: A function f(x) has a removable discontinuity at x=c if f(c) is not…

Q: Q2: Is the function f(x) = sin x -2x + x' odd or even Odd function C Even function C Not of all O

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Q: 6) Find the value of c such that {0, c} is 2-cycle such that c be a constant and let the function be…

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Q: 5.6 Differentiate f with respect to t and g with respect to X, where

A: Let us start solving step by step....differentiate with respect to t and g with respect to x

Q: 1. If h(x) = (f(x))² - (g(x))2,f' (x) = -(x) and g' (x) = f(x), then h'(x) = %3D

A: Given h(x) = (f(x))2-(g(x))2 On differentiating both sides , we get h'(x) = 2f(x) f'(x) - 2g(x)…