The function f (x) is defined below. What is the end behavior of f(x)? f(x) = -168 + 4x - 4x %3D O as x oo, f(x) → -o and as x -o, f(x) 00 as x 00, f (x) → o and as a -, f(x) 00 as x 0, f(x) → -o and as a -o, f(x) -00 as x → 0o, f(x) → ∞ and as x -00, f(aæ)

Q: Let h(x) = f(x) – g(x). If f(x) = 5x² and g(x) = 2x³, what is h' (1)?

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Q: The range of f(x)=/4-x² is [0,2] O (-00,2] [2,0) O [-2,0] [-2,2]

A: Range :- set of all output values

Q: Determine the domain of the function f (x, y) In(3-y) 4- x2 – y2°

A: Given function is f(x,y)=ln(3-y)4-x2-y2 Domain is the set of values for which the function is real…

Q: 9. Let f(x) = xr – 3x² + 3.

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Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: Differentiate the function. g(x) = In(xe-8x) g'(x) = %3D

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Q: Find (f - g)(x). f(x)= 2x- 2, g(x) = 4-x

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Q: Let f(x)= Vx+3 and g (x) =- x+3 Determine 3.

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Q: L3Q3. If f(x) = -8x2 + 3x + 1 and g(x) = x + 1, find (f + g) (x). A.-8x2 + 4x + 2 B.-8x2 + 5x + 4

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Q: f(x)={0: x is less than or equal to -1, ax-b: -1 is less than x is less than 1, 3: x is greater than…

A: we have to find value of a and b so function to be continous

Q: The function f(x) = 2x³ – 36x² + 192x - 3 has two critical numbers. The smaller one is x = and the…

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Q: • The Range of f (x) = v1-x is 1. [-1, c0) 2. (-0, 1] 3. (-0, 0) 4. [0, 0)

A: Domain: The set of possible values of 'x'                    for which 'f(x)' is defined. Range:…

Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

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Q: (c) Show that f(x)>0 for all values of x, x # -2.

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Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x? + 3x – 3x x² - 2x + 6 -x? + 2x + 4 x? - 2x –…

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Q: snip

A: Consider the statement. The domain of the function fx=x2-4x is x|x≠±2.   A polynomial function is…

Q: Where is f(x)%3D4(x-2)+2(x-2) increasing?

A: Here, fx=4x-212+2x-232

Q: Find ao of the function f(x) = (n - x)2

A: The given function is: f(x)=14π-x2

Q: Let k(x)=f(x)g(x)h(x). If f(x)=−3x+4,g(x)=−x+4, and h(x)=−3x2−4x+3, what is k′(x)?

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Q: How will the function f(x)= -(x+4)^3-8 be transformed from its parent function?

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Q: Example: Find the PDE, which has a general solution ø(→,2) = x x =0, where is an arbitrary function…

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Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

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Q: Let k(x)=f(x)g(x)h(x). If f(x)=−2x−3,g(x)=−3x+3, and h(x)=−3x2+x+1, what is k′(1)?

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Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?

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Q: Let h(x)=f(x)g(x). If f(x)=−2x^2+2x+3 and g(x)=−x^2−3x−4, what is h′(−1)?

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Q: Let k(x)=f(x)g(x)h(x). If f(x)=3x−2,g(x)=2x−3, and h(x)=−2x2+4x, what is k′(1)?

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Q: Find f(x) - g(x) when f(x) = 2x^2 - 4x g(x) = x^2 + 6x   x^2 - 10x   3x^2   3x^2 + 2x   x^2 + 2x

A: In a polynomial expression, the like terms are the terms with the same variables and exponents.

Q: • The domain of f(x) = 3-x is x2 -1 %3D

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Q: Let h(x)=f(x)g(x). If f(x)=4x^2+3x+1 and g(x)=3x^2−3x−4, what is h′(−1)?

A: Given: hx=fxgx, fx=4x2+3x+1, gx=3x2-3x-4

Q: I need help with number 21

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Q: Evalvate f(f(f(2) X+5 for x5

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Q: Evaluate f"(c) at the point. 9) f(x) = In (4x - 3), c = 1 10) f(x)=3x2-3, c=1 3x - 4 11) f(x)= 4x-3'…

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Q: Describe the end behavior for this fucntion F(x)=x^5-3x^3+2x-4

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Q: let f(x)=-4x-1, h(x)=-x+3  find (h f)(2)

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Q: (a) g(x) = x + 1 x-1 (using the definition)

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: sketch g(x) = f(x + 3) -2. %3D

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Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?

A: Add the given two functions and differentiate with respect to x

Q: Describe the end behavior for this fucntion F(x)=x^4-2x^2+3

A: The given function f(x)=x4-2x2+3

Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: Find ao of the function f(x)=(-x)², 0≤x≤ 2π

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Q: Find the critical numbers of the function. f(x) : 6x2 – 9x %3D

A: given f(x)=6x2-9xdiffrentiate the function to calculate critical pointsf'(x)=12x-9

Q: Let h(x)=f(x)−g(x). If f(x)=5x2 and g(x)=2x3, what is h′(1)?

A: Consider the given functions, fx=5x2 and gx=2x3 Since it is given that hx=fx-gx so substitute the…

Q: The range of f(x)= -/2-x² is %3D [-/2,0] O [0,/2] [-2,2] [2, 0) [0,2]

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Q: If fx) is a differentiable function such that f(-2)=-1 and g(x)-f(3x+1), then what is g'(-1)?

A: Use chin rule to differentiate g(x).

Q: 2-If F(x)= -x²+2x -4 and g(x)= 1/(2x+4) find g(f(-1)) ( ".

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Q: Find (f-1)' (a)   f(x)  = x3 + 3Sin x  + 2Cos x  , a= 2

A: Given expression: fx=x3+3sinx+2cosx Differentiate the above expression w.r.t 'x'…

Q: Let h(x)=f(x)/g(x) where f(x)=x^2+5x−1, g(2)=−4, and g′(2)=−2 what is h′(2)?

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Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: Find (f -g)(x). f(x) =x² +3, g(x)= V5-x

A: