f (x) = 2x, g (x) = x + 4 and h (x) = 5 – x³ Evaluate the following: 6) (f + g) (2) 8) (f · h) (–1) 10) (4) (– 7) (h – 9) (0) 9) (f · 9) (1)

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: 4. f(x) = x(x- 2)(x + 1)(x + 3) 5. f(x) (x + 2)(x - 1)(x-3)2

A: According to company rule we can answer only first question and rest can be reposted.

Q: 3) f(x) = 2(x + 2)3 – 2 10 21 10 -8 -6 -4 -2 2 4 -2 6 8 10 -4 -6 -8 -10 4.

A: We have to construct the transformation from the parent function.   NOTE :: As per our guidelines we…

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

A:

Q: 3. f(x)=-5sin ax+- 江x- +2 2

A:

Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: 4 -7 -6 -5 -3 2 -1 2 4 5 -2 -3 -4 -5- -7+ Your answer should be in the form (x- h) + k. f(z) %3D 6…

A: Finding quadratic expression

Q: 1 if x -2 18. f(x) = x + 2 %3D a = -2 1 if x -2 x+3 if x -1 a = -1

A:

Q: In Problems 21–32, tell the maximum number of real zeros that each polynomial function may have.…

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: Sketch the graph of the function.

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

Q: Discuss the continuity of the function.

A:

Q: Complete the table.

A: Given;

Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…

A:

Q: In Problems 9–20, find the slope of the tangent line to the graph of f at the given point. Graph f…

A:

Q: In Exercises 1–4, use graphing software to determine which of the given viewing windows displays the…

A: 1) This function fits most appropriately in [-5,5] by [-25,15]…

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: 19. f(x) = x - 4, g(x) = Vx + 5, x 2 -5 %3D

A: Consider the functions f(x) = x – 4, g(x) = √(x + 5), x ≥ –5

Q: f(x)=14(x-3)+1 g(x)=7(x+ 2)+1 f(x)=6(x+2)-3 g(x)=8(x- 3)+6 f(x)=3(x-1)+2/3 g(x)=3(3-x)-2/3 f(x)=-/,…

A: a) the function  f(x)=14(x-3)+1 is shifted 5 units left and is shrunk vertically by 12 to get the…

Q: Match the polynomial function with its graph: [A] through [H]

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Part 1 of 10 (a) As I-- 0 f(x) -3. Part 2 of 10 (b) Asエ→2fは)ー - Part 3 of 10 (C) As I-2f(x)- 00…

A: topic - graph of a function answer is (d) . 3

Q: 3 x + 3 ' 7. f(x) = x + 2x - 3, 3 2 8. f(x) x-3 x-2’ 6. f(x) = 1 -- = g(x) : - x - 1 g(x) = 3 = g(x)…

A: We can find the value of 'x' for which f(x)=g(x) . Note : As per our Guidelines we can solve first…

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: 1- x**! 1- x n+1 6 (x # 1) r=0

A:

Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: 10 -8 -2 10 -2 -4 -6 -8 -10 for f(x) = |3D for 8 4.

A: We will find out the required equation of given piece wise function.

Q: 1 Find f'(-1) if Ax) = (2x + 1)², O-4 04 O-1

A: The given function,       fx=12x+12

Q: * 1.4 • If x xf(y)-1 then, %3D 1-f(y) xf') G)-1 1. у - 2. y 3. у 1-f) 1-/y) 4. у %3D

A: The correct option is, option (1)  The detailed solution is as follows below:

Q: Differentiate f (x) = 7 (2-60+3). A. f' (2) = a2-6x- 3 B. f' (x) = In(7)(2x–6)7™(=²-6z+3) x2-6x+3…

A: Differentiate f(x)

Q: 5. 4. f(x) f(x) -2 -1 -2 -17 2 -1 4.5 -1 -3 -4 -2 2 4 x -5.5 -1 2 --9 2 3 -3.5 3 -3 4 -17 4 -19 ロ-

A: (4) To find out the zeros , we look at the points where the graph crosses x axis The graph crosses…

Q: In Problems 37–42, analyze each rational function

A: Hey, Thanks for the question. Since you have posted multiple questions. As per our guidelines, we…

Q: 5 2 7 . If f(x) = 3 + 4x · 2* + r", what are f"(0) and f"(0)? 3!

A: Given f(x)=3+4x-52!x2+73!x3

Q: (e2* ) In(3x+2) Vx' - x -1 Determine f '(x) if f(x)= DO NOT SIMPLIFY!

A:

Q: 3. f(x) = (3x – 2)* %3D 4. f(x) = (x² + 1)° (x² – 1)² (2х — 6)* 5. f(x) = x+7)" (x + 7)7 6. f(x) =…

A:

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: ) Given that f(x) = 2x + 5  g(x) = 2x – 6 /  x and  h(x) = x2 – 5  Find:- i) f(-4) = ii) h[f(-6)]…

A: Function value and it's composition

Q: sgn (x + 3) if - x2 +9 - Vx² – 9 x 3

A: To solve the following problem

Q: -8 f(1) – 4 g(4) =[ %3D 8- 6+ y= f(x) 2+ -8 -6-4 6. -4+ y=g(x) -6+ -8- ఈ

A: Given, The graph of the functions  y=fx   and  y=gx We have to find the value of expression…

Q: Determine L'{F}. - 1 8s F(s) = ° - 10s -3s +6 %3D 3 s (s-2)

A:

Q: Find (f – 9)(x) if f(x) = V16z4 and 9(ax) = 3a² – 3x – 5. O (f – 9)(x) = x² + 3x + 5 O (f - 9)(m) =…

A: Given f(x)=16x4g(x)=3x2−3x−5

Q: a. Ak x+2, y=x→_ b. As x→2, y =-x →_ 6. As x → 2. y =x'+ 3x² →. d. As x→-0, y =-3x² →. e. As x→2, y…

A: answer of given question is in step 2

Q: 3. f(x) = x In x - 2x + 3 on (0, ) . f(x) = -12r + 75x* – 80x . f(x) = x² - 2 In x %3D

A:

Q: ) f(x) = V4 - シx-2 x- 2 %3D 1 8) f(x): %3D 9) f(x) = 1 %3D Vlx|-x 1 10) f(x) %3D |x|+x^ 11) f(x) =…

A:

Q: Vx+5-5 1. f(x): at (-5,-1) х-20 V16-x2 2. f(x) = at (-3,-1) х+1 V16-x3 3. f(x) = at (-3,-1) х+1 х-16…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5х + 4, x < 0 f(x) 5x + 8, х2о (а) f(-1) (b) f(0)

A: In this question we will use basic of algebra i.e finding vale of function at a point. we will…

Q: r(x)=x-2/x^2+2x+1 As x right arrow - infinity, r(x) right arrow As x right arrow infinity, r(x)…

A: Taking highest factor common from denominator and numerator evaluate the following limit

Q: 11. f(x) = Vx² – 9 = V x-2 12. f(x) X-1 13. f(x) = Væ² – x – 2 - if æ > 0 14. f(x) = -2x, if x < 0.

A:

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

A:

Q: 1. f(x) = Vx2 – 4 (x²–9) 2. f(x) х+3 х+8 3. f(x) x2 +x-2

A: