5. Given that f(x) = x² – 4 and g(x) = 3x + 5, find the value of each of the following, if it exists: (g) (g/f)(-2) (h) (g/f)(5)

Q: 4. If [æf (x) + 2] dæ = x³ – a² then find the function f (x). 3 A) 2 3 B) 2+ C) 3- 2 E) 2– D) 3+ --…

A: The given equation is x∫x fx+2dx=x3-x2.

Q: Calculate M6 for f(x) = v2x over [2, 5].

A:

Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

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Q: 4. Given that (fog)(x)3= 4. and f(x) = Sx+4 9x-2 Determine g(x). Hence, find g(0)

A:

Q: For a short run production function q=10lnL if L=5 and the wage rate is $3 the extra cost of to…

A: Answer:----.               Date:----3/10/2021

Q: 13 Given that f(x)= 2x+1 and h(x)=x, find (h o f)(3).

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Q: If f(2) = 15 and f (x) > 2 for 2 s x s 4, how small can f(4) possibly be?

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Q: 1. Differentiate the following and for each state whether you have used the product rule and/or the…

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Q: 7. Iff (1) = 5, which could be the equation for f (x)?

A:

Q: 1. Solve for (f1)'(3) if f(x) = x³ + x +1

A: Recall:  d(f-1(a))dx=1f'(b)                ................(1) How to find Derivative of the…

Q: 6. Suppose f(x)-<ɛ. Solve for|x-1 where f defined below. x 1 f(x) = 2 3

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Q: The function f(x) = 2x^3 - 27x^2 + 108x - 4 has two critical numbers. The smaller one is x = ? And…

A: Hereupon plotting we can see that horizontal tangent can be drawn at points x=3 and x=6.  Note: The…

Q: 2. If f(x) = 1 + x², find fof 3.lf f(x) = -x, g(x) = 2x + 1 and h(x) = x², find fogoh,

A:

Q: 1 b) x 2. If f(x)=x(2 In x-3) Find f'(x) 24/mx-4x

A: #2 Given, f(x)=x22 ln x-3

Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

A: Given that x∈ℝ. We have to prove the statement "If x5-4x4+3x3-x2+3x-4≥0, then x≥0" by using…

Q: 13. If f(x) = 3x -4 the equation for f¹(x) is 0y=x+3/ 3 Oy=1/x+³/ Oy=4x+3 Oy=3x+4 4

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Q: Suppose z is implicitly defined as a function of x, y, by means of the equation: z4+8zx=3x2+12y2…

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Q: If f(x) = 2x² + 4x - 3, then f(x+h)-f(x) h 012x+ +2h)²+(4x+4h)−3−(2x²+4x-3) h 2(x+h)² +4x−3−2x² -…

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Q: 1. Solve for the values of x in the function below. f(x)=x3-4x-0.5x2+2

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Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

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

A:

Q: If the total revenue function for a blender is R(x) = 84x − 0.01x2 where x is the number of units…

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Q: (8) If f(x) = x² – 3x, what is f(x +h) - f(x) =? h (x² + 2xh + h²)-3(x+h)-(x²-3x) = 2x – 3 + h (x² +…

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Q: Graph the following functions.

A: The function: fx=-2x-1if x&lt;-11if -1≤x≤12x-1if x&gt;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: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

Q: (3x +2 ifx 3 3. f(x) = x/|x| with a = 0.

A:

Q: evaluate h(x) = 2x-1/ 3x+1 at the given value of x h(s-5)= ?

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

A:

Q: (b), f(x) = In (x² – 4)

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

Q: 7. Given f(x) = x² – 5x ,

A:

Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: What are the critical points for the function f(x) = x³ + 9x² + 15x – 8 %3D None x = -1 and x = -5 x…

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Q: How do I find the possible inflection points of f(x)=a/((x^2)+(b^2))? It also states a and b are…

A: To find point of inflection we need to find x from f"(x)=0

Q: Suppose 2<f'(x) < 4, for -1 sxs1. Then f(1)- f(-1) is between A) 4 and 8, B) 8 and 16. C) 0 and 4.…

A: Given  2≤f'(x)≤4 for -1≤x≤1Then We know thatf(1)-f(-1)2=f'(1) (by definition of derivative)We know…

Q: 2 If f'(x) = 3x? and X f (1) = 0, find f (x

A: Given  f'(x) = 3x2 - 2x3 ... (1) f(1) = 0

Q: 2x – 3 if x >0 3x – 1 if x 3], [ƒ 9]. Q. Given f(x) = -- - |

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Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: 6 — 2х if x x2 – 16 For which x E R is f(x) continuous? You must give j your answer.

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Q: For what value of the constant c is the function f continuous on (-0, ∞)? ( cx2 + 8x if x < 5 f(x)…

A: Given f(x) = cx2+8x   if x&lt;5x3-cx  if x≥5               we find the constant C is the function f…

Q: In Problems 21–32, use Descartes’ Rule of Signs to determine how many positive and how many negative…

A: Use Descartes’ Rule of Signs to determine how many positive and how many negative zeros each…

Q: f(x) = x* – }x' – x + 2x –1 -

A: Given   f(x)= 14x4-23x3-12x2+2x-1has turning point at where the f'(x)=0differntiate f(x) with…

Q: 2. If h(x) = 4 +3f(x), where f(1) = 7 and f'(1) = 4, find h'(1). %3D

A:

Q: f  f(x)=ln(7x^6−3x^2) and g(x)=(π3lne‾‾‾√+13log2(16))5e+x5+6x,  f′(1)=

A: f(X)=ln(7x^6-3x^2)         2nd question is not written proper please write properly and resend

Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: a) (fog)(x) c) (gof)(x)

A: A detailed solution is given below

Q: -8- -7 -6- 5- y = f (x) 3- -2 sy = g(x) LO 4-

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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: 4. If h(x) = 2x – 3, find h(x²) and [h(x)]². 5. f(x) =- 2 6. f(x) =*

A: