For Exercise, determine if the function is even, odd, or neither. z(x) = V49 + + x

Q: Consider the functions f(x) and g(x), for which f(0) = 2, g(0) = 5, f'(0) = 10, and g'(0) = 5. Find…

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Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.) if…

A: We are given f(x) = 6-x    if x ≤8x-10 if x >8

Q: Express the given function h(x) = l3x - 4l as a composition of two functions f and g so that h(x) =…

A: Given :h(x) = 3x -4To express h(x) as a composition of two function f and g so that  h(x) = (f∘g)(x)…

Q: Find all the points of discontinuity and classify them for the functions: x² + x (i) f(x) = x3 + x²…

A: Hey, Thanks for the question , "Since you have posted multiple questions as per our guidelines we…

Q: Evaluate the function ( f/g)(0) for f(x) = x + 3 and g(x) = x2 − 2.

A: Given functions are fx=x+3 and gx=x2-2.   The objective is to find f/g0.   It is found by…

Q: For Exercise, find two functions fand g such that h(x) = (f • g)(x). h(x) = V2x + 1

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Q: Express the function in the form f°g. H(x)= / 4 + /x %3D

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Q: Given the function f(x) =

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Q: Let y(x) be the function that satisfies e3 – 17 xy' – 3xy – y – x4 = 0, y(1) : x > 0. 27 Find the…

A: detailed solution is given below

Q: Consider the function f (z) = e²z.

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Q: Find the value of the constant k that makes the function continuous.

A: We shall try and understand this concept, in simple terms.A function is continuous at a point, if…

Q: Given y = 4 for all real values of x, Can y be regarded as a function of x ? Give reasons.

A: Given y = 4 for all real values of x To determine whether y can be regarded as a function of x or…

Q: find all possible functions with the givenderivative.33. a. y′ = x b. y′ = x2 c. y′ = x3

A: a. Given, y'=x⇒dydx=x⇒dy=x dx Integrating on both sides, we get ⇒∫dy=∫x dx⇒y=x22+C            ∵∫xn…

Q: For Exercise, refer to the functions f, g, and h defined here. f(x) = -x + 3x g(x) h(x) = Vx + 2…

A: To find x-intercept, solve the given equation by setting f(x)=0.

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: The range of the function h(z)= - for 0 </z|<1 is a) |w|51 b) |w|21 c) |삐=1 d) w=0

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Q: 12. Is the function f(x) even, odd, or neither? 2x + 1

A: Given function is: fx=x22x+1 We know that a function f(x) is said to be an even function of x if…

Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: Find constants a and b, such that the function following function is continuous for -3 <x <0. -x +1,…

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Q: Given the functions f (z) = 3x² – x,g (x) = ;4,h (x) = 9z, find go f (-1) %3D

A: I have given an answer in step 2.

Q: For Exercise, determine if the function is even, odd, or neither. -x v(x) x| + 2

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Q: b): Apply Rolle's theorem for the function f(x) = x² + 4x over the interval -4,0]. Justify your…

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Q: Express the function h(x)=1x−9h in the form f∘g. If g(x)=(x−9), find the function f(x).

A: Topic = Functions

Q: For Exercise, evaluate the function for the given values of x. 2 for – 3 < x < -2 1 for -2<x < -1 0…

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

Q: Find ao of the function f(x) =(n - x)? – x)² |3D |

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Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x + 4) -2. Choose th y = f(x) Ay A.

A: Here we have to use the graph of y=f(x) to graph the g(x)=2f(x+4)-2. The graph of f(x) is,

Q: Express the function h(x)=1/x+7h in the form f∘g. If g(x)=(x+7), find the function f(x).

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Q: Let f be the function for x 7 Find the value of c that makes the function continuous.

A: Given the function  f(x) = x2-cfor x&lt;78x+3cfor x≥7

Q: Find a and b so that the function 2x3 – 7x2 + 4, x -2 is both continuous and differentiable. a = b…

A: Function and its derivative mist be continuous so check the continuity at x= -2

Q: 2. Find and sketch the domain of the following function f(x,y) = 4– x² – y2 + V1- x2

A: Consider the given function as fx,y=4-x2-y2+1-x2

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: For Exercise, determine if the function is even, odd, or neither. f(x) = 3(x – 4)?

A: Given function

Q: For Exercise, find the indicated functions. f(x) = 2x + 1 (g • f• h)(x) g(x) = x² h(x) = Vx

A: We write the given function as:

Q: Find the linearization L(x) of the function at a. f(x) = –9x?, a = -9 L(x) =||

A: Given:- The function is, f(x)=-9x2 To find: - The linearization L(x) of the given function at a=-9

Q: 2 V1-x*

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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: Consider the function f (t)=r² +24 aminta

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Q: Express the function h(x)=1x+7 in the form f∘g. If g(x)=(x+7), find the function f(x)

A: Given,

Q: a) Find the domain and range of the function f(r, y) = Vy – 4+ SUTM 1 UTM x2.

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Q: Use the vertical line test to determine if y is a function of x in the graph. Which of the following…

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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: (b): Apply Rolle's theorem for the function f(x) = x² + 3x over the interval [-3,0]. Justify your…

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Q: For Exercise, find two functions fand g such that h(x) = (f - g)(x). 5 h(x) x + 4

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Q: Find functions f and g so that f ◦ g = H, where H(x) = |2x^(2) + 3|.

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Q: For the piecewise linear function, find (a) f(-4), (b) f(- 1), (c) f(0), and (d) f(2). 2x if xs -1…

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Q: 2. Given the function f (x) = Vx, sketch the parent function and f(x) = -2/(x + 3)+4 by using…

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Q: For Exercise, find the indicated functions. f(x) = 2x + 1 (f•g• h)(x) g(x) = x? h(x) = Vĩ

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