If ƒ and g are functions then ƒUg is s a function.

Q: if x 4.

A: The function gx is a piecewise defined function.

Q: Let X = {a, b, c, d, e, f, g} and Y = {1,2). Let X (d) and let g: X Y %3D %3D be the function…

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Q: Find the specific function g(x) such that g' (x) = x-2 given that g(1) = g(3) = 1. Please select…

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Q: Which table does NOT show y as a function of x? 1 1 1 1 10 8 4 2 y 9 11 9. 14 14 15 16 17 18 100 80…

A: 3rd option is correct.

Q: Let f and g be functions defined by, f(x) = Vx+ 2 and g(x) = Vx2 + 1. Find the functions gof, , f +…

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Q: Iff is not Lipschitz function de fined on [a, b] then f ¢ R [a, b] True O False O

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Q: Which of the following is the domain set of the function f (x,y)=arccos( x² +y -3)+ In(x² +y² -3) ?…

A: Domain of a function: The domain of a function fx is defined as the set of all values of x such that…

Q: Suppose that f is a function with f'(2) = −5. If u is very very close to 0, then f(2 + u) is…

A:

Q: If f(a) > f(x) in an open interval containing a, x + a, then the function value f(a) is a relative .…

A: Given: If f(a)>f(x) in an open interval containing a, x≠a, then the function value f(a) is a…

Q: If f(a) > f(x) in an open interval containing a, x ≠ a, then the function value f(a) is a…

A: Definition:

Q: Find the specific function g(x) such that g'(x) = given that g(1) = g(3) = 1. Please select file(s)…

A:

Q: The function g(x) is defined below. Which of the following statements is true?

A: Definition used – The Y-intercept of function – Y-intercept of function can be found by…

Q: Let g : B → C and h : B → C be functions. Suppose that go f = hof for every function f: A → B. Prove…

A: We have to prove that g(x) = h(x) for all x belongs to B.

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x,       g(x) = √x

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

Q: he domain and range of the following function f (x) = x+1 is : x-1

A: Given that  f(x)=√(x+1)/(x-1) To find the range and domain

Q: Porcelain figurines are sold for $10 if flawless, and for $3 if there are minor cosmetic flaws. Of…

A:

Q: Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B.…

A: givenA = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B

Q: If U-f() where f is an arbitrary function and P-U,.Q-U, then which of the following relations is a…

A: Given that : U=fxy Calculating P: P=Ux=f'xy1y ---->(1) Calculating Q: Q=Uy=f'xy.x.-1y2…

Q: If F is a function from A to B and x is an element of A, then F(x) is ________.

A: It is given that F is the function from A to B.It is known that if A and B are sets and F is a…

Q: if g(x) is an odd function defined for all values of x,what can you sat about g(0)

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Q: Find the avéragé raté of chanģė óf the function between the ĝiven valueš of x. y = -5x – x² between…

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Q: If f is a function from [-2,6] to R, and f(x) = 3x, partition p = {-2,3,4, 6} and tags e = {0, 4,…

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Q: Function g:R → R, defined by g(x) =x*+5 is a one-to-one function. True False

A: (7) To check if g:R→R defined by gx=x4+5 is one-to-one function.

Q: If y is a function of x, which of the following cannot be true? When x 3 and x 7, then y = 2. When x…

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Q: 9. If f (x) = prove that f (xr) is an even function. et -1 2

A: A function f(x) is said to be even if we have f(-x)=f(x)

Q: 19. Let ƒ(x) = x/(x-2). Find a function y = g(x) so that (ƒ ∘ g)(x) = x.

A: Given,

Q: If f(x)=10sin(x)+3cos(x) , find a function g so that g"(x)=f(x) given that g(0)=0 and g(2)=12 .…

A: Given query is to find g(x).

Q: A function f is defined by if r< 0, f(2) : |r², if 20. a) State the domain of f. b) At what points…

A: The function f is defined by                           For (a), Here, the function is defined for…

Q: If f(x) : = x + 9 and h(x) = 2x – 4, find a function g such that g of = h. g(x) =

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Q: 1. Write a function of x, f(x), such that the following graph represents y=f(x).

A: Here we need to find a function for given graph in the question. According to the definition of…

Q: If f(x) is a function that is defined for all x E R, then f (ƒ-'(x)) = = x. True False

A: A function f-1(x)  is said to be inverse of a function f(x) if the function reverses the function.…

Q: Suppose that f and g are functions such that (0) = 4, f'(0) = 5, g(0) = –2, gʻ(0) = 3. %3D æf(x)…

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Q: If f(x) is a concave function such that f(x) > 0 for all x then g(x) = ((f(x))1/2 is a concave…

A: The given statement is

Q: If two functions are defined as: g: from (1,2,3} to {a,b,c}, and g(3) = a, g(2) = b, g(1) = c h:…

A:

Q: g are the functions whose graphs are shown, let u(x)

A: The given function is, v(x)=f(x)g(x) Then, by the quotient rule the value of v'(5) is,…

Q: Let g(x) = = X-f(x) S(x) , find g'(1),if f(1) = 4 and f'(1) = 2

A: Given that g(x) = -x-f(x)f(x). We have to find the value of g'(1). Given that f(1) =4 and f'(1) =2.…

Q: If f : A B is a function such that B = {f(x): x E A}, then we call f "Alkong". How many Alkongs are…

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Q: If the function f(x) is even, which of the following is ze an O bn ao nothing is zero

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Q: Which of the following is the domain set of the function f(x.y)= arccos(x² + y² - 3)+In(x² +y² -3) ?

A: In this question, we evaluate the domain of multivariable function and in second part we check the…

Q: Function g: R → R, defined by g(x) = x* +5 is a one-to-one function. True False

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Q: Evaluate f(-3), f(0), and f(2) for the piecewise defined function. Then unction. f(x) = {* +1 ifx…

A: we have to evaluate f(-3), f(0) and f(2) the given function is  f(x)=x+1if x≤-1x2if x&gt;-1

Q: 3. Determine if the function is even, odd or neither. 1 s(x) - (x'+x*}° а.

A:

Q: If f: A B is a function such that B = {f(x) :x € A}, then we call f "Alkong". %3D How many Alkongs…

A: We will solve the problem using the concept of surjective mapping

Q: If f(a)&gt; f(x) in an open interval containing a, x ≠ a, then the function value f(a) is a…

A: If f(a)&gt; f(x) in an open interval containing a, x ≠ a, then the function value f(a) is a relative…

Q: If the domain of a function f (x) = x2 +1 is [0, 1], then its range is.. Select one: [0, 1] a. b.…

A: To solve the following problem we use the defination  range of the function

Q: o f(x) f(x) is not a function because when x < 0 f(0) is undefined < 0 is undefined is defined

A: We have to complete the sentence.

Q: For each OF function FX) FX) below find (f!) (x) ® fox) = tan X. %3D

A: Given: fx=3x+42, fx=tanx, fx=3x-4x+1 For finding inverse of given function, first we find x in terms…

Q: Function f:Z+ Z, defined by f(n) = n – 1 is a one-to-one function. True False

A: