1 Given f(x) = |x| & g (x) = 5f (æ) 2 Describe the transformation from f(x) to g(x)

Q: 5. f(x) = x², 6. f(x) = 1- - g(x) = 4x + 5 3 x + 3 7. f(x) = x + ₁1/2x - 3, g(x) = 1 x-1 g(x) = 3

A: As per guidelines we can answer only one question at a time so if you need more answer kindly repost…

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: f"(x)=6x +1/x^2, f'(1)=4, f(1)=2

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Q: 1-х 26. f(x) =- х+2 27. /(х)- Vx* - 3

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Q: A- TI x + 2 x² – 3x – 10 51. f(x) x + 2| 53. f(x) : x + 2 х, 55. f(x) : x, xs 1 [x², x > 1 %3D x +…

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Q: ax-4 XX _4 f(x) = %3D Domain: Range: Continuity:

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Q: 6. f(x) = |x +5| - 2 %3D Parent: Transformations:

A: We have the given function as   f(x)=|x+5|-2   Its parent function will be  f(x)=|x|

Q: -343x x = -2 g(x) = { (x – 1)(x+ 2) x = -1 | a3 – 22 +1 , x + -2, –1 g(1) =

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Q: 0,x1 (x+2,x<-1 10. f(x)= %3D 2,x2-1

A: Answer

Q: 1. f(x) = Vx , g(x) = 9 - x² %3D 2. flx) = Vx , g(x) = х-2 3. f(x) =, g(x) = Vã

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: „2 - 5 Differentiate: f (x) = ln x4 f'(x) =

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Q: [5(x + Ax) + (x + Ax)² – 1] – [5x +x² – 1] f'(x) = lim %3D Ax→0 Ax

A: To find the value of f'(x) when lim∆x→0, first simplify the function then substitute the limit. If…

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

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Q: 1. Find the composition function a) y =f(x) = b) y = f(x) = 2x + 5x2

A: a)  given   f(x) = 1x Thus composition function of f(x) = g(x) = f{f(x)} = 11x = x

Q: Complete the table.

A: Given;

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: lim +h)-f(x) h→0 >- f(x) = v5x + 1 when x %3D h 5

A: Given:  fx=5x+1x&gt;-15 To Find:  limh→0 fx+h-fxh=?

Q: 1.) f(x) = x² + 2x g(x) = 2x - 3 Find (g - N(x) 2.) f(x) = 2x' + 4x + 2x + 1 9(x) = x' - x + 7x + 9…

A: Explanation of the answer is as follows

Q: X1 6. ((-)- f(l)= f(0)=. f(2.5)=

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Q: Lim JX-J2 メ→ x²-4

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Q: Graph the functions in Exercises 25–28.

A: "Since you have posted a question with multiple sub-parts,we will solve the first three sub-parts…

Q: 2) g(x)= -2 () 2x+1 Transformations: a= b= h= k=

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Q: 1. f(x)=-2x²+x-1 a) f(0) =-| %3D b) f(-1)=- c) f(-x)=-X- %3D d) - f(x) = | e) f(x+1)=-3 ) f(2x)= -…

A: 1.    fx=-2x2+x-1   a) On putting x=0                         f0=-202+0-1      =-1  b) On putting…

Q: 1) f(x) = |x], g(x) = -|x| + 3 2) f(x) = VF g(x) = V-2(x + 3) 3) flx) = |x| g(x) = 3|x + 2| 4) f(x)…

A: Topic- function  Note- : as per our guideline we have to answer only first three subparts because…

Q: 7. Let f(x)=64x² ln (2x) −16x¹. Findƒ(e)-f(€) 2

A: NOTE: Refresh your page if you can't see any equations. . take x=e

Q: 2. f(x) = 2|x-1 Parent: Transformations:

A: Given function is as below: f(x)=2|x-1|

Q: 44. f(x) f(x) == // 4-x x²-16 47. f(x)=- +² x²-4 45. f(x)=- x-1 x²+x-2 48. f(x)=- 2+x x²(1-x) 46.…

A: To find the vertical asymptotes of the given functions.

Q: 9. f(x) = 2x + 2, h(x) = -2x – 5 find (g o h)(-4 + x) 10. f(x) = 2x, g(x) = -x – 4, find (f o g)(x)

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Q: 5. f(x)=2(x- 2)*– 1 10 4 46 810 -10-8-6 -4-2 -2- -4 6, CO

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Q: 0,x1 x+2,x<-1 f (x)= %3D 2,x2-1

A: Interval notation is a way to describe continuous sets of real numbers by the numbers that bound…

Q: 1. f(x) = x², g(x) = 6-x 2. f(x) = x+ + 2x², 3. f(x) = 3+√√2x_g(x)=x-1 g(x) = 6x²

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: f (x) = - x + 43x - 5 %3D as x → -00 f (x) →-0 as x -∞f(x) -8 | as x +oof(x) → -8∞ as x → +of (x) →…

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Q: Determine which functions are polynomial functions. For those that are, state the degree. For those…

A: We know,  A polynomial is an expression consisting of variables and coefficients, that involves only…

Q: (i) f(x) = x³ – x² - 8x + 1 on [-2, 2]. (ii) f(x) = x³ + x + 1 (iii) f(x) on [-1, 1]. = 3x* – 8x³ +…

A: Please see the below picture for detailed solution.

Q: f'(x) = lim [5(x+Ax)+2]-[5x+2] %3D Ax→0 Ax

A: Given: f'(x)=lim∆x→05(x+∆x)+2-5x+2∆x

Q: f(x) = 5x -6 g(x) = 7x+ 12 h(x) 6x2 - 13x - 19 j(x) 3x2-x+ 26 k(x) = 11x – 9 m(x) = 8x2 - 13x - 34…

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Q: -5-k -5 If L f(x- k)dx = 1, compute f(x)dx. %3D 3-k 3

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Q: (-3 0 -2x + 4 f(x) = -1 if %3D -2 x

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Q: 02. Find the end behavior for y = x–9x+20. A. x + +0, f(x) → +∞ ; x → -o, f(x) → +∞ B. x → +0,…

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Q: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

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Q: f(x)-f(xo) f'(x) = lim 2. f(x) = x2-5x + 6 3. f(x) = Vx + 6 at x = 2 at x = 3

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Q: 13. f(x) = √x₂ -π≤ x < 0, 10, 0<x< T; x, f (x + 2π) = f(x)

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Q: F(x)=1/3x^3-1/2x^2-12x+4 Domain [-4,5] F’(x)=x^2-x-12

A: To find the correct option

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: lim f(x+h)-f(x) h-0 3x f'(x) = ? %3D h x+1

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Q: 19.yf(x) = 2|x – 1|; f(-2). f(0), f(¿). f(2), f(x + 1), f(x² + 2)

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Q: 5x+1 x>-2 e. lim f(x), (x) = { 1s-2 I. Iim +2

A: -2+ means on the right side of x=-2  So we will take the first function

Q: x²-2x-35 3. f(x) = x+5 -5.1 2.1 -5.001 -5 -4.999 -4.99 -4.9 х f(x) lim f(x) = %3D x--5

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Q: 16-17. Find the derivative: y = (x2 – 4x + 2)(2x3 – x2 + 4) A) 2x*- 36x³ + 24x2 + 4x -1 B) 2x* –…

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