Compute the composition go f of the functions f and g below, determining its largest domain: 고기r-101 +3 1- x4 f :x + g : x + V3 – x

Q: Show that f(g)x = x - 5x  Show f(g)x = x

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Q: Let f(x) = x2 / (x2-1) . (a) From a graph of f, explain why f is not invertible. Furthermore,…

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Q: Let f(x) = x^2 . Describe a series of transformations which could map f(x) onto g(x). Then write an…

A: Here we have to do the transformations to the graph of f(x) so that it mapped on to g(x).

Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

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Q: Consider the function f(x) =V3x+6 for the domain[-2, 00). Find f(x), where fis the inverse of f. 1…

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Q: Explain why the function f is continuous at every number in its domain. State the domain. 3v1 f(x)=…

A: Given- f(x)=3v-1v2+2v-15 To find- Why the  function f is continuous at every number in its domain .…

Q: y = f(z) -2 -1

A: x=-2, -0.5,0,1,3,5The function y=f(x) has six discontinuities.First one is at x=-2.This is removable…

Q: In words, communicate parent function the function : all transformations f(x)=2x g(x) = 3.2 2.…

A: Given f(x)=2x.

Q: Let the function f be defined by -5x +4 for x 2 f (x) = { x2 +3 %3D - 1 Evaluate f(-1) + f(3)

A: fx=-5x+4for x<-1x2+3      for -1≤x≤21x≥2

Q: Find the requested function and state the de Find f. g, for f(x) = 8 and g(x) = 7 - x. (f g)(x) =…

A: Given,  f(x)=8x3g(x) = 7-x   To find fog(x),                           fog(x) =f(g(x))

Q: Express h(x) = (x2 - 3x + 7)9 as a composition of two functions f and g such that h(x) = ( f ∘…

A: To Determine:  Express h(x)  as a composition of two functions f and g such that h(x) = ( f ∘ g)(x).…

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6, Find (f/g)(x) and its domain.

A: Let f(x) = x2 - x - 4  and g(x) = 2 x - 6 Formula used: (f/g)(x) = f(x) / g(x)

Q: f(x)=-4x-1, h(x)=-x-5 find ​(f◦​

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Q: Suppose f and g are the piecewise-defined functions defined here. For each combination of functions…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Sketch the graph of f(x) if ...f'(x)>0 on (2,4) and f'(x)<0 on (−∞, 2) ∪ (4, ∞),f''(x)>0 on…

A: Here we suppose that the given function is continuous on the given intervals and differentiable on…

Q: Let f(x) = (x – 8)² + 4, æ > 8. Determine f-'(x). f-'(x) = ||

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Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

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Q: Let f(x) = V7 – x + 8. Determine f-(x) and the the domain of f -(x). f(x) = Domain of f-(æ) ||

A: Let us take y = f(x). So,               y=7-x+8Replace y by x.⇒x=7-y+8⇒y=-x2+16x-57 Thus, we get…

Q: Find a symoblic representation for f-1. f(x) = x3-2   State the Domain and Range of f-1(x).…

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Q: The function f (x) is defined below. What is the end behavior of f(x)? f (x) = -832x2 + 12x + 4096 +…

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Q: Consider the following. f(x) = 2x/4 – x², [-2, 2] (a) Use a computer algebra system to differentiate…

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Q: Compute the composite functions fog and gof and discuss their domains, where f (x) =vx, g(x) = 1 –…

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Q: 1. Describe all functions f such that f(r) ar² + bx +c and f(1) = 2 and f(-1) = 6.

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Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

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Q: Use algebraic notation to describe how to transform the blue function into the red function. 6+ 2-…

A: Consider

Q: Suppose f:Z -> Z has the rule f(x) = x7. Determine whether f is injective, surjective and/or…

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Q: For the real-valued functions f (x)=x² – 3 and g (x)= x-4, find the composition f og and specify its…

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Q: Discuss the continuity of the composite function h(x) = f(g(x)).

A: It is given that,  h(x)=f(g(x)) ..................(1) where f(x)=x2and g(x)=x-1

Q: Test the continuity of the function f(x): 3 – x X +1 2< x <3 3 < X < 4 X = 4 F(x) = 2х — 1

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Q: practice question 26

A: The given functions are,

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: Differentiate the function.

A: The given function is ,gx=lna-xa+x the above function can be written as, gx=lna-x-lna+x…

Q: 4. Consider the function if x > 0 {2 if a < 0 g : R – R, g (x) = -2x2 Is this function bijective?…

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Q: practice question 22

A: Given,

Q: Define f(x ) = Vx2 +1 and g(x) = 2 – x2. State the domain of (f + g)(x ). x # v2, –v2 - [-1, 00)…

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Q: 10.Let f(x) = – x² -x – 6 and g(x) = 2x + 6, find f(g(x))

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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: Let f(x) = -8x +9, g(x) = |x, h(x) = Vx and k(x) 2. Find and simplify the indicated composite…

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Q: Discuss the continuity of the composite function h(x) = f(g(x)).                                f(x)…

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Q: Find the domain of the function. if x 6 O(-0, 0) U (0, 2] U (6, 0) O(-0, 0) U [2, ∞) O(-∞, 2) U [6,…

A: The domain of a function is the set of input or argument for which the function is real and defined.…

Q: Use the function and graph to answer the questions about existence, limits, and continuity. -x-3, -…

A: topic - limits and continuity

Q: Assume that g is a twice-differentiable function (that is, g' and g" exist) and f(x) = x g(x²).…

A: The given function fx=x.gx2 Differentiate with respect to x using product rule…

Q: Use algebraic notation to show how to transform the red function into the blue function. O f(z-2)+5…

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Q: Find f(x) such that f '(x) = x² + 3 and f(0) = 4. f(x) = symbolic formatting help

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Q: IV. Verify Rolle's theorem for the function: f(x) = x2 – 5x + 6 on [2,3] а.

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Q: A function f: Z -> Z is defined as f(n) = 2n + 1. Is this function injective, surjective, and/or…

A: An injective function is defined as one to one function. This means that every element in the…

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6, find f(-x). Is f even, odd, or neither?

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Q: Find f such that f'(x) = x - 5 and f(0) = 3. f(x) = %3D

A: Given: f'x=x2-5 f0=3   Integrate the function with respect to x. ∫f'x=∫x2-5dxfx=∫x2dx-5∫1dx=x33-5x+C

Q: Let the function f be defined by -5x + 4 for æ 2 Evaluate f(-1)+ f(3)

A: The given function is,  fx=-5x+4for x&lt;-1x2+3for -1≤x≤21for x≥2

Q: Use algebraic notation to describe how to transform the blue function into the red function. 8- 6-…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.