Function decomposition. The function h(x) = (x + 3)° can be expressed in the form f(g(x)) where f(x) = x°, and g(x) is defined below: g(x)=

Q: B. Find the domain of 1. h(x) = V(x - 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1. 3. If f(x) = -1 and…

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

Q: Let f(x) = (x - 1)2, g(x) = e-2x, and h(x) = 1 + In(1 - 2x). (a) Find the linearizations of f, g,…

A: Given:

Q: 22. Let f(x) = (x – 1)² g(x) = e-2x and h(x) = 1 + In(1 – 2x) (a) Find the linearizations of f, g,…

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Q: (f + g - h) (x) f(x) = x + 4 g(x) = 2x2 + 2x h(x) = x² + 1 %3D O x2 + 3x + 5 3x2 + 3x + 5 O x2 + 3x…

A: We use the sum and difference of functions to answer the given question.

Q: 5. Using the graph of y= f(x), determine the equation for the transformed function g(x)in the form y…

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Q: FUNCTION Η ASYMΜPΤΟTE V ASYMPTΟTE DOMAIΝ y-intercept x-intercept HOLE -2x x(r-3) x² –9x+20 4x²…

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Q: The quadratic function y = -(x - 1)2 + 2 is %3D a) increasing for x > 1 decreasing for x 1…

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Q: Fill in the blank with the appropriate direction (left, right, up, or down).

A: Given: The graph of y=f(x)+3 is obtained from the graph of y=f(x) by shifting ..... 3 units. The…

Q: 1. Find the absolute maximum and absolute minimum values of "f" on the given interval. A. f (x) 12 +…

A: f(x) =  12+ 4x -x2,       [0, 4] f(x) =  x + 1/x,             [0.2, 4] f(x) =  x - ∛x ,…

Q: 3. f(x)=x-4x Vertex x-intercept(s)

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Q: The Lo(x) of second degree Lagrange's polynomial is (x-x0)(x– xq) O (x-xq)(x- x2) None of these (X2…

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Q: 8 Where does the graph of the function hx) = x*+3x-4 cross the x-axis? A. x= - 2 and x 2 B. x= - 2,…

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Q: 1. Find the composition function a) y =f(x) = b) y = f(x) = 2x + 5x2

A: a)  given   f(x) = 1x Thus composition function of f(x) = g(x) = f{f(x)} = 11x = x

Q: 10) Use the graph of y = f (x) shown below to describe the concavity in the graph of y = f (x) on…

A: Given information: The graph and the concavity in the interval [0,4]

Q: Using ELIMINATION OF ARBITRARY CONSTANTS, find the values of c1 and c2 so that the given functions…

A: We have to solve the problem

Q: initial condition to find the root of the function x3- C ww wwww m ww ww w wwwwwm Xn+1 Xo = -1 %3D…

A: Newtons method xn+1=xn-fxnf'xn

Q: Does a function f(x) = a* where a > 0 have an x-intercept? a. Yes, and it is x=0 b. Yes, and it is…

A: Givenf(x)=ax  where…

Q: The L2(x) of second degree Lagrange's polynomial is (x-x,)(x- x2) (Xg = XoXXq =Xq) (X2- X0)(x2=Xq)…

A: According to question we have to calculate the second degree Lagrange's polynomial  .

Q: 1-3z + ar 1 find a. (Enter a fraction) 6 If the horizontal asymptote of the function f(x) = is y= 2r…

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Q: Group 2 x2 – 2r – 3 c(x) = x2 – 4x – 5 11 %3D 10 8 2. Fill the Table: 3. Graph the function: 4 3 2…

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Q: A cubic polynomial function f is defined by f(x) = 4x3 + ax2 + bx + k where a, b, and k are…

A: f(x) = 4x3+ax2+bx+k local minimum at x=-1point of inflection at x=-2At point of inflection ;…

Q: 16. A cubic polynomial function f is defined by f (x) =x3 + ax2 + bx + c, where a, b, and c are…

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Q: Group 2 x2 – 2r – 3 c(x) = x² – 4x – 5 11 10 2. Fill the Table: 3. Graph the function: -1 -10 47 443

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Q: f(x) = 10x + 1 %3D f-(a) = -1(x) g(x) = 9x3 – 6 -6 %3D %3D

A: " Since you have posted a question with multiple sub - parts , we will solve first three sub - parts…

Q: #45

A: #45) To find the vertical asymptotes we set the denominator equal to 0.  x-2=0 or, x=2   Degree of…

Q: B. f(x) エ2-1 Polynomial? (yes/no) Degree: Standard Form: f(x) = %3D End Behavior:

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Q: 2. Given the functions f (x) = 2x2 - 7x -3, g(x) = x² - 6x +9, h(x) = x² +x-6 and j(x) = 2x? – 5x +…

A: Given  f(x)=2x2-7x-3g(x)=x2-6x+9h(x)=x2+x-6j(x)=2x2-5x+2

Q: 15-18. Find the extrema of f(x) = 3x - 4x³ on the interval [0, 2].

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Q: f(x + Ax) - f(x) f'(x) = lim %3D Ax Ax-0 Differentiate: f(x) = x² + 4x - 3 CHOICES: (Just type ONLY…

A: Using given first principle of derivatives

Q: 16. If f(x) = 3x + 1 and g(x) = x² + 2, then (gof)(x) = (o = composition)

A: Given that, f(x)= 3x+1 g(x)=x^2+2 We have to find (gof)(x)

Q: .7% x-2 Consider the function f(x) = 7 -7' %3D x-7 Use the graphing utitlity to graph f. f(x) = %3D…

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Q: 25. lim h→0 (x+h)² +4(x+h) —x²− 4 at h (A) x³ + x4 (B) x² + 4x (C) 2x+4 (D) nonexistent

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Q: 1-the domain of function y=v(x-5)+v(8-x) a) {X:Xs 8} O b) {X:X 25 Oc) {X:82X2 5}

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Q: (a) f(x) = x(Kx+1); I<x<2 -%t f(x) = Kx² - ; 1<x<2 % (c) f(x) = Kx; 0<x<2 (d) f(x) = K(x² +4); 0<x…

A: As per our guidelines we are suppose to answer three sub parts.

Q: The polynomial parent function y = x* has been transformed. What is the equation of the new image? 2…

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Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

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Q: The function f(x) = x'-3x has a local maximum at x = %3D O A. OC. С. -2 D. 1 B. 2.

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Q: Tespoctrv 28. Find the decomposition of the function two different ways. h(x)= Vx² – Jx %3D

A: We have to find two functions f(x) and g(x) such that h(x)=f(g(x)) We can write h(x) as: First type…

Q: a) Determine the domain of the function f(x) = /x2+ x-6 b) The following is the result of Gaussian…

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Q: f(x) = 1- 2x and g(x) = 1- x. Find (fo g)(x). %3D 4x - 1 2x 4x 2x - 1

A: Given  f(x)=1-2xand g(x)=1-x

Q: 3, x21 Graph the piecewise linear function f(x) = -1-x, x<1 OB. OD. OA.

A: Note: We know that piecewise function is a function defined by multiple sub-functions, where each…

Q: x²-1 If f (x) = 2x - 1 and g (x) = determine g [f (x)]. %3D x2+2x+3' 2х-1 4x2+1 x2-2x-5 x2+2x+3…

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Q: 2. The horizontal asymptote of the curve 2x2 – 3x y = is x² + x - 2 A x= -1 or x = 2 3 B x = 0 or x…

A: We have to find the horizontal Asymptote from curve and vertical asymptote

Q: f(x) = x-2 (x + 2)² Find the maximum and minimum limits of the function:

A: Given problem:- f(x) = (x-2)/(x+2)2 Find the maximum and minimum limits of the function

Q: -1 The function f(x) = 3+4x + 36x has one local minimum and one local maximum. %3D This function has…

A: Find the local maximum and minimum using second derivative test

Q: x,x 3 (1 – x², x > 2 12x – 7,x < 2 - f(x) =

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Q: The graph of y = x is the image of y = Vx after: O horizontal compression by a factor of 3/2 O…

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Q: lim f(x+h)-f(x) h-0 3x f'(x) = ? %3D h x+1

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Q: A polynomial function, f (x), has roots at x = -3, 1, and 5. The y-intercept is at -1. Determine the…

A: A polynomial function the f(x) has roots  x= -3,1 and 5 ,the Y intercept is at -1 To determine the…

Q: f(x) = and g(x) = f-l (x), find g' (x). %3D 2х-4 o g'(x) = -2 1 2x2 o g'(x) = 27 1 2x2 o g'(x) = -…

A: Hi There,  As per bartleby rules, we are supposed to do only one question at a time.  Kindly repost…