Each item below shows a pair of functions, f(1) and g(x), as well as the composition of functions, f(a(2)). Item Number f(z) g(2) (2+4)(z-4) f(9(z)) 1 |3z + 16| 22 2x-5 x + 3 2x +1 3. 7x +4 4. 24 + 16 Va-16 22-5 x+1 7. x + 16 Va- 16 Select all the rows that showwa pair of functions that are invertible, using the composition of functions given. Each row is indicated by an item number. O Item 1 O Item 2 O Item 3 O Item 4 O Item 5 O Item 6 O Item 7 2. 5. 6

Q: Evaluate f(- 1) where f(x) is the piecewise function graphed below. | 4 O2 -3 -2 -1 - 2 34 6 -2- -3-…

A: We have to find the value of f(x) for x= -1 Where, Domain is [-6,6]               Range is [-3,3]

Q: Which describes the end behavior of the function? f (x) = 5(4)* - 4 %3D As x 00, f (x) → 0; as x →…

A: Given function, f(x) = 5(4)x - 4

Q: 10. Find the domain, range of the set of piecewise defined function and graph x<2 4- x, f(x) = l1+…

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Q: 1.6 Find the domain and the range of the function, f(x) = -3 + Vx. а. Domain: (-00, 0] , Range: (-∞,…

A: Given that: f(x)=-3+x To find: Domain and Range of function .

Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: Use the graph of f'(x) to identify the graph of f (x). 10 8 6. 4 2 -4 -3 1 2 3 5 -2 -4 -6- -8- -10+

A: Consider the graph of f'(x), the x intercepts on the graph of f'(x) is at x=-1.25  and 0.5…

Q: A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x <…

A: The demand function is  p =0.17-0.000002x  The total cost function is C = 0.082x-0.0000005x2 To…

Q: Find f+ g, f-g, fg, and f/g. If f(x) = x- 3 and g(x) = x + 4, 1. f (x) = 3x + 4, glx) =2x-1 2. f (x)…

A: Given that some function f(x) and g(x) and we find f+g ,f-g , fg , f/g. Here i attached solution of…

Q: 1. Evaluate the function for f(x) = x + 3 and  g(x) = x2 − 2.       (f-g)(6)=  2. Evaluate the…

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Q: . Determine the domain and range of the foiiowing functions. a) y=-3(2*")+4 b) y=3log(-x+2)-1 %3D

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = xe-x²/98…

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Q: Introduction 1. Determine whether the function is even, odd, or neither a. f(x) = 5 – 3x b. f(x) = x…

A: 1. we determne whether the function is even odd or neithera)Fx=5-3xb)Fx=x4-x2-1c)Fx=2x3+3xAccording…

Q: Evaluate the function: f(x) = x²-4x+3; x= -3

A: Given function is fx=x2-4x+3 Put x=-3 in given function. f-3=-32-4·-3+3=9+12+3=24

Q: The function g is defined piecewise as follows. (x-3)²-4 if x<2 g (x) = %3D -x-x+3 if x2 2

A: Given: The function g is defined piecewise as follows:gx=x-32 if x&lt;2-x2-x+3 if x≥2 To Find: a.…

Q: a) Find the domain and sketch the graph of the function. f(x) 5 , G(x) = (1-x 12-x o's xS1 0sxS1 1<…

A: Since you are asking multiple questions. We are answering only the first question for you as per our…

Q: In Problem,find the domain of the composite function f ο g.

A: f(x)=x-2g(x)=1-xf∘g=f(g(x))=f(1-x)=1-x-2

Q: 3. Write the function F (x) = x3+6 as a composition of three or more non- x3 identity functions.

A: The given function is, Fx=x3+6x3-9

Q: Determine if the function is even, odd, and neither even nor odd function. f(z) = - 723+3x - 5 7x +…

A: To determine whether the below function is even, odd, and neither even nor odd. fx=x5−7x3+3x−5

Q: Which is the graph of the function f (x) = 4Vx 2 - %3D 10 21 -21 10 -10-8 6 -2 10 -10-86 -10 10 8.…

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

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Q: Let f(x) = x ^ 2 + 6 and g(x)= x+8 x . Find (g )(-7). Note: gof=g[f(x)].

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Q: 3. Write the algebraic representation of each piecewise function, using function notation. a) 4- y =…

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Q: What is the domain of the function, f(x)=[(x-1)(x-3)] ⁄ [{x-2)(x-4)]?       Select one: a.   {x…

A: Set the denominator equal to zero for fractions with a variable in the denominator.

Q: Find the intercepts of the function. f(x) = x(x − 7)(x + 7)   x-intercept      (x, y)  =…

A: x intercept s are (0, 0), (7, 0), (-7, 0)

Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

Q: 3 Graph the piecewise function below and identify its domain and range 5 for x2 -6 -5 -4 -3 -2 -i -1…

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Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is…

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: The inflection point of the function f(x) = x³ – 4x² + 4x + 2 is: (금, 끓) 3 7 4 ' 27 7 (금, 꽃) 4 70 3'…

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Q: What is the domain of the function f (x) = -4|a + 1-3? O (00,00) O (1,-3) O (-00,-3] O (0,00)

A: We have to find the domain of the function  f(x) = -4|x + 1| - 3

Q: f(x) = 11- 18z2 -5z5- 12x - 2x f (x) } and f(x)6 : + -00 as x → : + -00 as z → o0 : - 00 asT -00 : +…

A: topic - polynomials

Q: 2. Evaluate the function for the values of x = -6, 2, and 3. 12-9x if x<0 f(x) = x²+ 3x if 0<x<3 4x…

A: Solution is given below:

Q: The graph of f(x) is shown below. Graph f(x). 7. 6- 4- 2- -9-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 − 4,…

A: Use distance formula to solve

Q: Find the intercepts of the function. f(x) = (x + 8)(4x2 − 1) x-intercept      (x, f(x))  =…

A: x-intercept: (a, 0) The value of x for which f(x) or y is 0.   y-intercept: (0, a) The value of y…

Q: What is the domain of the function? f (x) = 2 5x-12 x-4 2а2 - (-00, -4) U (-4, )U (,0) (-00,-)U…

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Q: A print shop makes bumper stickers for election campalgns. If x stickers are ordered (where x <…

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Q: 3 %3D 2. Complete the table to describe all the end behaviours of the function f(x) = (x+2)2 As x -…

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Q: Analyze and graph the given function f(x)= (x-1)^2(x+2)^3 as follows: (a) determine the end behavior…

A: The given polynomial function, f(x)=x-12x+23

Q: x6 (x) 12

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

Q: Let f(x)= -12x+1 and g(x)=x^2 + 1 Find f(-9)·g(-9)=

A: Given f(x)=-12x+1 g(x) = x2+1

Q: Find the domain of the functions: •f(x)=x+7/x^2-7x+12 •g(x)=square root 1-7x •h(x)= 3x-4/x^2+4…

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Q: (x) = x3 − 4x2 − 21x   Determine the intercepts. x-intercept      (x, y)  =               (smallest…

A: Given that f(x) = x3 − 4x2 − 21x To find the x and y intercepts

Q: - Use the graph of the functionf to find all the values of x such that f(x)=2 %3D 本y 10- 8- 6- f(x)…

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Q: V2x – 5 is : x² - 6x +9 The domain of the function f(x) = Select one: О а. х #2.5, x 2 3 O b. x #…

A: For given function numerator is (2x-5). so for solution of the function (2x-5) should be greater…

Q: 5. Let Let f(x) = 1/(x – 3) and g(x) =x³. Find f(g(x)) B) 3(x-3)² D) - 3 A) x3-3 c) 3 x3

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Q: Example: Let f(x)=4-x and g(x)= v3+x . Find the functionf+g, f-g. fe ande り = F+4+ f and find their…

A: The domain of f+g, f-g, and fg is the common domain of f and g. While the domain of f/g is the…