Consider the function f : A → B.

Q: Find a pair of functions f and g and an interval [a, b] such that fg a

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Q: Consider the function f(x) = xn , where n is odd. Does f −1 exist? Explain.

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Q: Let f(x) = V6 – x and g(x) = a? – æ. Then the domain of f og is equal to

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Q: Are the following functions quasi-concave? Assume x ≥ 0 a) f(x) = a b) f(x) = a + cx², c < 0

A: Both questions are different so I soved 1st queation if you want 2nd one then repost it again.

Q: Use the Quotient Rule to differentiate the function f(u) = (sin u)/(u2 + 10).

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Q: u = VP – 2/F u' =

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Q: Consider the function f(x) =2 –x ind f(x+h).

A: f(x+h)=2-(x+h)^2 that is 2-(x^2+h^2+2hx) i.e =2-x^2-h^2-2hx

Q: Consider the function f : R2 → R2 defined by the formula f(x, y) = (xy, x3). Find a formula for f °…

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Q: 1. Why is f not a function from R to R if a) f(x) = 1/x? b) f(x) = V? c) f(x) = +/(x²+ 1)? %3D %3D

A: Note "As per our company guidelines we are supposed to answer ?️only first question. Kindly repost…

Q: Let f: XY and A,BCX. Give an example of a function f and sets A and B that f[A\B] #f[A]\f[B]

A: Take any constant function and subsets A and B such that they overlap.

Q: Let f be a linear function. If f(−3) = 2 and f(2) = −13, find f(x).   f(x) =

A: To determine the linear function f(x).

Q: Differentiate the function.

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Q: Consider a function f whose domain is the interval [a, b]. Show that if |f(x) − f(y)| ≤ (x − y)²,…

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Q: d3 дхдудх dydzdx дгдхду

A: From given data we can say f has 3rd order continuous partial derivatives .

Q: find functions f and g so that f ∘ g = H.

A: given: Hx=1-x2 we have to find the functions f and g so that f ∘ g = H.

Q: Consider the function f(x) = x?e2

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Q: Derive the autocorrelation function of: x₁ = $xt-1 + εt + 0€t-1 assuming that p < 1, and E(?) = 0²,…

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Q: Let f : Z+ → N be the floor function f(x) = [(x – 1)/2].

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Q: Express the function in the form f•g•h. 45. R(x) = Wx – 1 46. H(x) = /2 + |x| 47. H(x) = sec*(/r) =…

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

Q: Find functions f and g so that f og=H . %3D H(x) = |9x + 2 %3D

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Q: What is T3 centered at a = 3 for a function f such that f (3) = 9, f' (3) = 8, f'' (3) = 4, and f'''…

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Q: Use the definition to find f'(x) given (image)

A: Definition of the derivative is

Q: "Find the domain of the function f(x) = g(z) +, where g is a function whose domain is (-, 10]." VT-4…

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Q: Find the denhetive f fue function: In(G at

A: Explained below

Q: Given that f(x, y, z) = xy + z and x = s2, y = st, z = t2, find the composite function.

A: To find the composite function.

Q: let f(x)= x2 . Find the value c in the interval (0,3) so that fave = f(c).

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Q: Explain why Rolle’s Theorem cannot be applied to the functionƒ(x) = | x | on the interval [-a, a]…

A: Given- fx=x To explain- why Role's theorem can not be applied in the above function. Concept Used-…

Q: 18) What is the domain of the function f(r)=E o %3D

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Q: a) Investigate whether the function f(z) = z is analytical?

A: In order to investigate whether the function is analytical or not, first write the function f(z) in…

Q: Let f(z) = 2z? – 3–ze" +e**. Describe this function in detail.

A: A function is an equation that relates an input to an output. A function can be written as…

Q: Specify the domain of f and sketch its gr f(x, y) = Vx2 + y² – 16

A: Given,        f(x, y)=x2+y2-16

Q: Find a function f(1) such that | f(z)dr= 2² – 5.

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Q: 17) What is the domain of the function f(x) = E, 6"z"? %3D

A: Given that fx=∑n=2∞6nxnTo find : Domain of functionSolution :fx=∑n=2∞6nxn=∑n=2∞…

Q: Determine whether the function f : R → R defined by f(x) = e" is surjective. If not, determine its…

A: A function is said to be surjective/onto when range is equal to codomain of function. Given function…

Q: Determine the type of functions from R to R with necessary figure. i) f(x) = 5x + 7 ii) f(x) = (x² +…

A: (i) fx=5x+7 This function is state line and has roots is x=-75

Q: (c) Is there a function f such that F = Vf? If yes, find such a function f. If not, explain why not.

A: Given:. F=(zexz+yz², yz², 2xyz) Yes

Q: make a sketch of the given function on the interval [0, ∞). f(t) = 3(u2(t) - u4(t))

A: Unit Step function is defined as  u(t)=1,t≥00,t&lt;0u(t-τ)=1,t≥τ0,t&lt;τWe denote u(t-τ) by uτ(t)

Q: let F be the function from R to R defined by: f(x) =x². Find f–¹({1})

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Q: Express the function F(x) g(x) = ||||| ✓cosa in the form fo g.

A: To express the function Fx=cos x in the form f∘g.

Q: Given the function f(x, y) = V10 – x + y, evaluate f(2, 1) and f(-9, –3).

A: Given: fx,y=10-x+y for finding value of f2,1, we put x=2,y=1 in given expression so,…

Q: Use an appropriate substitution to prove f(x)dr f(a + b – x)dr.

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Q: Let f : R → R be a function with the following property: f(x + y) = f(x) + f(y) for all x, Y E R.

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Q: Why is f not a function from R to R ifa) f (x) = 1 ∕ x?b) f (x) = √x?c) f (x) = ± √(x2 + 1)?

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Q: What is the domain of the function f(z) = E3)"? %3D en%3D1 n!

A: We have to find the domain of the function.

Q: Find the linear approximation of the function f(x) = V1-x at a = 0 and use it to approximate the…

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Q: Assume that we have functions f(x) and g(x) so that

A: Given functions - ∫-13f(x) dx = -1∫35f(x) dx = 4∫-11g(x) dx = 3∫15g(x) dx = 2∫-152f(x)-5g(x)dx = ?

Q: Find f •g and gof ,where f (x) = x² + 1 and g(x) = x + 2, are functions from R to R.

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Q: The domain of the function f(x, y) is R? \ {(0, 0)}. x2 +y2 OTrue False

A: use the definition of the domain of f(x,y)

Q: Assume that f : (e)R is

A: Given, f:l→ℝ is a coordinate function for the straight line l and h : l→ℝ also any coordinate…

Q: Consider the function f : Z × Z → Z × Z defined by f(a, b) = (a+ b, a b) -

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