Suppose that the functions p and q are defined as follows. p(x)=-5x-2 q (x) =-x-3 Find the following. (9 •p)(-3) = | 6.)(-3) = 0 %3D

Q: 2 2 x >1 4 2x> 2 4 x+ 2 b) f(x) = . 16 52x>4 x² + b 6 2 x > 5 1)is the above function continues at…

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

A: A function is relation between set of inputs and output. The piece-wise function is a function which…

Q: Find the critical numbers of the function. f(x) = x3 + 3x2 − 45x

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Q: 2. Supposef(x) = 5ax³ – 6x² – b²x – 7, and g(x) = cx* + 10x³ – (d + 1)x² – 4x + e. Find values for…

A: The given polynomials are fx=5ax3-6x2-b2x-7 and gx=cx4+10x3-d+1x2-4x+e. We have to find the value of…

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: Find the critical points of the functionf (x) = 4x³ – 48x+2. а. 2,3 b. -3,3 C. -2,2 d. -2,-1

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Q: Suppose g'(x)=sec^2(x) and g(0) = 0. What is g(x)?

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Q: f(x) = 32x − 8x2 find the critical numbers of the function.

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Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: Find the critical numbers of the function. a. f(x) = x³ + 6x2 – 15x

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Q: from the function f(x) = 3x4 − 4x3 − 12x2 + 5 Find the absolute extreme values of f on the closed…

A: To find out extreme values of f(x) i.e. maximum and minimum values, first we need to calculate…

Q: 2. If f (2) = 10 and f' (x) = x²f (x) for all x, find f"(2).

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Q: The linear functions m(x) and n(x) are perpendicular to each other and intersect on the x-axis. If…

A: Two lines with slope m1 and m2 are perpendicular to each other if m1m2=-1 Given: m(x)=4x+48 Let the…

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

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Q: 2. If f(x) = g(x) × h(x) and f'(x) = -2(x – 7) + 1(-2x – 6) , find a possible equation for f(x)

A: see below the answer and explanation

Q: 3) f (x) -on| -1, 2]| x²+2

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Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

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Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: 2) If g(x) =3 - 2, find g-(x). %3D H-3

A: Given,           gx=3x-3-2

Q: Find the critical numbers of the function  f(x) = x3 + 6x2  - 15x

A: Solution -  Given function is given as- f(x) = x3+6x2-15x…

Q: Suppose f(x) = v9 +x - Vx – 6. Find all x-values satisfying the equation f(x) = 3. %3D

A: Given Data: Function: fx=9+x-x-6 Condtion: fx=3 Use substitution method to find the values of x for…

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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Q: Graph the following functions.

A: The function: fx=-2x-1if x<-11if -1≤x≤12x-1if x>1

Q: 13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the…

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Q: Find the critical numbers of the function g(x) = (x2−16)1/2.

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Q: 4. If f(x) = -2*43 find X-1

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Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

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

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Q: + x) at a = -2

A: The Taylor series of a function fx at a point x=a is defined as f(x)=∑k=0∞f(k)(a)k!(x−a)k where fna…

Q: 2. If f"(x) = 4sinx+16cosx, f(0) = 6, f'(0) = 1, find f(x) and f(4).

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Q: Graph the following functions.

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Q: (b), f(x) = In (x² – 4)

A: Since you are asking only for b. Here is your answer.

Q: Find (f - g)(x) if f(z) = 5z + 1 g(z) = 4x- 2

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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: 0, xS3 F(x) = -k x2 3

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

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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: 3. Find (fo g)' ; if (x)= x+4 and g(x)= 2x -5.

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Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

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Q: Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than…

A: The given  revenue function is Rx=-23x3-12x2-6. in the interval 0≤x≤8. Since a point of diminishing…

Q: Find a number c that satisfies the conclusion for f(x) = x + x-1 on the interval [0, 2]

A: Answer is 2/√3

Q: the total daily profit of a certain food company for the sale of boxes of buko is given by the…

A: Given that the profit function is: Px=-0.001x3+0.1x2+3x-300 Then we get,…

Q: If f(z) = VE - 3 find: f'(z) = f'(3) =

A: Using Quotient Rule of Derivatives.

Q: Find the x-intercept(s) of the function (*)--+5x-6. O 2 and 3 O 6 and 1 O -1 and 6. O 5/2 and 3

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Q: Suppose that f is a linear function with slope 2.4 and that f(5) = -1. What value of x gives f(x) =…

A: Consider a linear function f with slope 2.4 and f(5)=-1 .

Q: y=4x

A: Linear function is given by equation y=4x. we have to show that value of y increases by 4 between…

Q: Suppose that 2 sf (x) < 4 for all values of x. What are the minimum and maximum possible values of…

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Q: .If f (x) = 5x - 2, g (x) = 2x - 3 and h (x) = x2, then (fogoh) (-1) =

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Q: x+2 for 4. Graph. f(x) ={-V4 – x² for -2 sxs2 (-x(x-3) for x 2 f(x)t

A: Consider the function  f(x)=12x+2                 for x&lt;2−4−x2            for−2≤x≤2−xx−3…