Let f(x) = 4x1 and g(x) = 2x!/2 . Find (fg)(x) and (x). Then evaluate fg and for x = 16. %3D %3D (fg) (x) = : (fg)(16) =D ()) = D:((16) = (x) State the domain of (fg)(x) and (x) The domain of (fg)(x) is and the domain of L(x) is

Q: 3. Find f'(x) for f(x) = v5 + e2x xe2x-1 А. V5+e2x 1 2v2e2x С. 5+ e2x e2x D. V5+e2x V5+e2x B.

A: In this question, concept of chain differentiation is used in this question.

Q: 9. h(x) = (x2-4) (x2-1) 10. g(x) = %3D -5x-23x3-25x2-x+ 6

A: Given: The given curve is hx=x6-8x5+24x4-32x3+16x2. To find: The main aim is to sketch the graph of…

Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

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Q: F(x)=2x^3 and g(x)=-3x^2 +1, Find a)(fog)(1) b)(gof)(-1) c)(fof)(2) d)(gog)(-2)

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Q: 1) F(x) = Vx+5 %3D x2-16 2x-8 2) h(x) = Vx2-15x+56

A: The domain of a function is the set of values which can be input into a function without the…

Q: -3х - 4 х-1

A: Increasing interval : Interval in which graph goes upwards Decreasing interval: Interval in which…

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: 1. Find the range of values of x for which y = x3 + 5x2 - 8x + 1 is increasing.

A: We have to find the range value of x

Q: 19. f(x) : х — 2 x² - 4 20. f(x) = х — 2 (2r 15 if v-

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Q: Minimize F = 36x2 + 36y2 with xy2 = 16

A: Given EquationF=36x2+36y2     ....(1)xy2=16                  ....(2)y2=16xSubstitute y2 value in…

Q: Find the critical points of f (x) = x³ – 6x².

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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: 9. f(x) = x3-8 %3D at x = 2 x-2 10. f(x)= (x+2)(x+3)-12 ,at x = 1 x-1

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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: find the interverse of the fuction f (x)= 2x + 3/x-4

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Q: Evaluate: x/9x2 + 4 (A f (x) = -4 ln V9x2 + 4 + 2 +C f (x) = - In 4 V9x2 + 4 + 2 + C 3x © f (x) = -2…

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Q: ,if 0<x< n2 ) = }e** ,if 0 < x <n2 0, otherwise 8x+2 f(x) :

A: The range of x is (0 π^2), is it right?

Q: 2x f(x) = x² - 4 %3D

A: Algebra Question

Q: dæ - x² – 10a – 21 -x – 3 - In x + 7 -æ – 3 -In +C +C x + 7 A x + 7 æ + 7 -In -x - 3 +C -In -x – 3…

A: Here we will solve the given intigral,

Q: x²-4 f(x) = In2-3x-4,

A:

Q: find the limit of each rational function (a) as xS q and (b) as xS -q.

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

Q: Find all critical numbers of f (x) =8r³+39x²+ 18r– 4 (A -3, -

A: We have f(x) = 8x3+39x2+18x-4To identify the critical values, we differentiate and find values of x…

Q: 3h(2)+4g(1) h(x) = {-3x forx= 2} g(x) = {x2+2  forx=3}

A: Given,          hx=-3xfor x&lt;24x+1for x≥2          gx=x2+2for x&lt;3x3for x≥3

Q: f(x)=1/5 x^5 - 8/3 x^3 +16x what are the critical points?

A:

Q: 3) Ar) = VF g(x) = V-(r + 2) – 3 4) Ax) = VF g(x) = - Vx + 3 5) Ar) = Vx g(x) = -2 Vx - 1 6) Ax) =…

A: We have to find translation

Q: 3) g(x) = x + 2 f(x) = x³ + 4x Find (g · f)(x) А) бх* - бх3 + бх? - бх 2x + 4x2 – 8x 4) f(x) = x² –…

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Q: The function f(x) = 2x³ – 21x² + 60x – 7 has two critical values. The smaller one equals and the…

A: The given function is f(x)=2x3-21x2+60x-7

Q: Differentiate: g(x)= (2x³ – 1)(x³ + 2) g'(x) = 10x* (2r³ – 1) + 3r²(r³ + 2) g'(x) = 10x“(2³ + 2) –…

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

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

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Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: Find Df,Rf/f(x). X 3 √x + √ X

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Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3

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Q: 4. Find ()(2) if f(z) = =+ 2 and g(x) = x2 +4x + 4. %3D

A: We are given fx=x+2 and gx=x2+4x+4.We need to find fgx.

Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: (b), f(x) = In (x² – 4)

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

Q: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23

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Q: 8. 8. 8. If f(x) dx = 35 and g(x) dx = 12, find [4f(x) + 5g(x)] dx. %3D

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Q: 4. For f(x) = 3x² + 5 and g(x)=7x-2, %3D %3D

A: answer is in next step

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

A: Critical numbers of a function are the values of x for which its first derivative is zero or…

Q: 2 f(x) = x² - 9 %3D (- 4,f(– 4)) = (0,f(0)) = (4,f(4)) =

A: Given that  f(x) = 2/(x2 - 9)  We need to find the following points. Now, f(-4) = 2/((-4)2 - 9)…

Q: For f(x)=3xv(4-x²) determir within its domain..

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Q: 5. P(x) = -3x- x³ + x² + x - 10 F(x) = 2x + x- 3x2 - 6 F(x) = x-x- x- 1

A: To find the number of zeroes and variations of polynomials.  According to our company's guidelines I…

Q: 1. Find fog. f (x) = -4x + 6 A) (fog)(x) =-5x B) (fog)(x) =-4x² + 30x – 36 C) (fog)(x) =-4x + 30 g…

A: f(x)=-4x+6g(x)=x-6

Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

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Q: с. X-3 -3)x' +x² -1- -14x+3 x -1 d. X-1

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Q: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) &gt; 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…

Q: 1 f(x) = x²- 4x %3D

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Q: a) f(x) =(5x + 3)(7x² - 2) using the product rule b) f(x) = (3x? - 5) using the chain rule c) f(x) =…

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