Let f and g be the functions, their sum and difference are denoted by ____________ and ____________ respectively.

Q: The function f (x) is defined below. What is the end behavior of f(x)? f(x) = -168 + 4x - 4x %3D O…

A: The given function,f(x)=-168+4x2-4x

Q: 1+x is even, odd, or neither. Show your work. |x| 2. Determine whether the function fx) = %3D

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Q: Find functions f and g such that  G = f ∘ g.  (Use non-identity functions for  f(x) and g(x)  G(x) =…

A: The solution of the problem is given in the next step.

Q: Efercises find favier sexies for the following function and is this function evenor odd or neither…

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

Q: The functions f and g are defined by f: xx-3 and g : x x respectively. Find another function h such…

A: Let us consider three functions f(x) ,g)x) and h(x) then    the function hgf(x) is composite…

Q: 2. Find the composite function f g for the functions below and describe its domain. f(x) g(x)

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Q: snip

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

Q: ind two functions fand g such that h(x) = (f °g)(x). 5) h(x) = (x + 5)6 %3D

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Q: Let f be a function with the following known values f( – 1) = 1, f(0) = – 4, and f(3) = 5. %3D Let g…

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Q: Let f and g be one-to-one functions. Prove that                                                 (a)…

A: Given: f and g are one one functions.

Q: Find two functions f and g such that (f . 9)(x) = h(x*). h(x) = x + 6 - | (f(x), g(x))

A: Given (f o g)(x)= h(x) And h(x) = 1/(x+6)

Q: Consider the function f defined by f(x) = 1/3x3 + 1/2x2 − 6x + 8. Find the following:  a. the…

A:

Q: snip

A: Given,f(x)=1x+2 and g(x)=xx-1

Q: Let f and g be two functions defined as 1 f(x) =2 and g(x) =,1 %3D %3D x - ind the following…

A: We have to find

Q: Find f+g , f-g , ƒ•g, for functions x+1 ) ==", g(x)=-. State the domain of each of these functions.…

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Q: Determine whether the given statement is true or false. If the statement is false, make the…

A: To determine: The given statement is true or false,  "Prove that if f and g are even functions, then…

Q: Determine whether the function is even, odd, or neither. f(x)=√4x O Even O Odd O Neither Show your…

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Q: Find f°g and the domain of the composite function. f(x) = |x], g(x)=x+3

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Q: Prove whether the following functions are even, odd, or neither: (a) f(x) = x+ ! (b) f(x) = (g(x))²…

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Q: We define the first difference ϑf of a function f by ∆f (x) = f(x + 1) - f(x). Show that if f(x) =…

A: ∆f(x)=f(x+1)-f(x)f(x)=x2f(x)=xf(x)=x3

Q: Question2 Evaluate the piecewise defined function at the indicated values: if x 1 (x²+2x f(x) = %3D…

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Q: Let f and g be any functions. If f and fog are both one-to-one, does it follow that g is one-to-one?…

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Q: 3. Iff and g are two lincar functions: f(x)-axtb and g(x)- cx+d, then what are the conditions on…

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

Q: Test whether the given function is even, odd, or neither: f(x) = x6 – x3 + 1 Select one: a. even b.…

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Q: A function f has an inverse that is a function if there is no________ line that intersects the graph…

A: The given statement is "A function f has an inverse that is a function if there is no________ line…

Q: The function f is constant on I if ________.

A: To determine when the function f is constant on I.

Q: 78. The domain of a one-to-one function f is [0, c ), and its range is [5, * ). State the domain and…

A: We have the function f is one-one on the domain [0,∞). The range of the function is given as [5,∞).…

Q: Find f of g and g of f  f(x)= 1/x , g(x)= x+1  Find the domain of each function and each composite…

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Q: consider the function h as defined. find functions f and g such that (f o g)(x)=h(x) h(x) =…

A: We have to find function

Q: we define the first difference δf of a function f by δf (x) = f (x + 1) − f (x). Show that for any…

A: Given that the first difference of a function is defined as

Q: Does there exist a function f such that f(0) = -9, f(2) = 9, and f'(x) 5 7 for all x? O Yes O No

A:

Q: Show whether the following function is continuously differentiable: f(x,y)=x3 +y3

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Q: Find the functions f ∘ g, g ∘ f, f ∘ f, and g ∘ g and their domains. f(x) = x - 4,   g(x) = |x + 4|

A: fx=x-4  &  gx=x+4 f∘gx=fgx=fx+4=x+4-4 The domain is the set of all real numbers.…

Q: (a) Show that the composition of two one-to-one functions, f and g, is one-to-one. (b) Express (f o…

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Q: A linear function is described either verbally, numerically, or graphically. Express f in the form…

A: Solution: Consider the given figure and we have to find the equation of the line; Let f(x) = ax + b…

Q: Determine the values ​​of a so that the function f (x) = x¬2 - 2ax + 3 the conditions of Rolle's…

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Q: Find the functions f ∘ g, g ∘ f, f ∘ f, and g ∘ g and their domains.

A: Given  f(x)=xx+1, g(x)=1x (f∘g)(x)=fg(x)             =f1x             =1x1x+1             =1x1+xx…

Q: (a) Find the natural domain and range of the following functions.

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

Q: 2) Let f be a function given by (Зх + 2 if x > 1 if -2 <x <<1 x < -2 f(x) = - х2 — 1 if Find f(0),…

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Q: Function f is defined as follows: f(x) = { (x−2)² +3, x+1 30 2 " 0≤x≤3 3 5

A: This is a problem of real-valued function and Integration of area and inequality.

Q: Suppose that h(x) = . Functions f and g can be even, odd or neither. 8(x) (a) Under what conditions…

A: Topic = Functions

Q: Let f be a function such that f (æ) = 2x - 4 is defined on the domain 2 <r <6. The range of this…

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Q: Function g(x) = ax + b is a one-to-one function if a is not zero, but it is not a one-to-one…

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Q: (f) Letf : A →→ B and g : B → C be functions. Prove that if g of is one-to-one, then f is…

A:

Q: 5 Let f(x) x5 and g(x) x. Simplify or evaluate the function g(f(u)

A: Given equation are,

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = 2 + 1/x,…

A: Given fx=2+1x and gx=1x

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

A: To compute the composite functions

Q: A function is defined as: -1 for - 3<x< 0 f(x) = %3D +1 for 0<x < 3 a) Sketch the function, find its…

A: Given: f(x)=-1for   -3≤x&lt;0+1for      0&lt;x≤3a) To sketch the function and find its types