how do I express functional notation to practical explantations? If c(psh) p being potato chips =5 s being soda= 6 h being hotdogs= 9

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

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Q: Find a formula for f-1(x) if 2 + 3 f (x): %3D 2 - 9 f-1(x) =

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

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Q: )х, х(0) 5 8 -1 -2 X(0) = X' = %3D X(t) = || %3D

A: To find: The value of x(t) Given information: x'=8-156xand the initial condition is x(0)=-26.…

Q: 13. Let ƒ(x) = 1 3 1+(3x+2)² 2√√3x +2 Find f (17). 12

A: The given function, fx=11+3x+22.323x+2 we have to find the value of f-712

Q: 1 Evaluate x²+ 3x-7 if x2 12 x=2 с. f(2) d. f(3)

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Q: Ex/ show that f(x) = x+7x + 4 x + 1 has an inverse. %3D

A: In this question we have to find whether the function has an inverse.

Q: аги аги + дх2 т дуг = 0 =

A: We have to solve given problem:

Q: Find (f 9)(x) if f(æ) = –5æ² + 2æ + 7 and g(x) = x + 1. O (f 9)(x) = 5x + 7 (f 9)(x) = -5x + 7 O (f…

A: Given fx=-5x2+2x+7 and gx=x+1

Q: It is possible to rearrange the expression 1 ax + b + x - 1 into the form Rx² + Sx + T x - 1 where…

A: SOLUTION IS GIVEN BELOW

Q: f ''(x) = 8 + 6x + 36x2, f(0) = 5, f (1) = 16

A:

Q: 17) Explain why these two quotients are different. Compute each one. (x – 2)* x* - 16 and X-2 x- 2

A: (a-b)2= (a-b)(a-b) and a2-b2=(a-b)(a+b)…

Q: Let f(x) = a° + 3x² + 8x + 4. Then (f')'(16) is equal to: 17 17 O 1 1 16

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Q: In yet another strange universe, there are some extra functions beyond our functions that their…

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Q: [2x+1 f(x)={-2x+3 if x21 if x 2 3. f(-4) = f(8) = f(2) = X-1 if x4 f(-1) = f(-4) = f (5) =

A: (?)  f(-2) =2x+1 (x<1)          = 2(-2) +1         =-3 f(6) =-2x+3 (x>=1)         = -2(6) +3…

Q: 1. f(x) = (x + 3) - 8 2. f(x) = -4x² + 5 3. f(x) = (x + 2)2 – 1

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: 3 If 14 + 9f(x) + 5x²(f(x))° = 0 and f(1) = –1, find f'(1). %3D

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Q: 4. 2x - 12 + 17 = 0 %3D f(x) ork

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Q: How would you remove the dis . z46 f(r) =

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Q: -1. f(-8) – 4 g(4) = 8- y = 9(x) -8 -6 -4 6. -6- y= f(x) 6.

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Q: Find f"(1) if Ax) = X+1. %3D 1 1 1/4 12 OOO

A: To find f'1 if fx=xx+1.

Q: 3 If f (2) = -5 and f'(2) = – find [f-1]'(-5). %3D 4

A: topic - derivative of inverse function

Q: (-5x + 4, for x 2 |1, Evaluate fl-1) - f(5)

A: Using the given function f(-1) = (-1)2 +3 = 4 f(5) = 1

Q: f(t) = Vt - 4

A: Given: f(t)=t−43

Q: Evaluate / (1) siven t-0 for -1 F (s) = (+3)(-6) 01 3.

A: Given:- F(S) =(s-1)/((s+3) (s-5))  To find:- f(t) when t=0

Q: 1 9. f (x) : about x = –2 = -2 (4+ 9x)?

A: We have to solve fx=14+9x2, about x=-2

Q: Compute f' (3). f (x) = -3.3x2² + 3.9 O f' (3) = -6 O f' (3) = -3.3 O f' (3) = -15.9 O f' (3) =…

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Q: +1 X-6 27 1. 1 2. f(x)=4 +1 x2 -36 -3 X+1

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Q: 3 2 y X-3x-x t3 From X = -1 to X= 8

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

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

Q: 29. f(x) = (x* + 1)-2 %3D

A:

Q: Suppose the profit from the sale of x units of a product is: P = 6400x - 18x^2 - 400  a.) What…

A: Given profit function is                                           P=6400x-18x2-400 now we have to…

Q: on one of the following functional form we .2 should not calculate R square *

A: Answer: If the regression line passes through the origin then we should not calculate R square…

Q: Find f'(-1) if tæ) - [1- -1). (x-1). %3D O a) -1 O b) -2 O d) o

A: We have to find f'(-1) if f(x)=1-1xx-1.

Q: Suppose that f(x) 16e" – exº. Find f'(3). f'(3) =

A:

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

A:

Q: It is possible to rearrange the expression ax² + bx + 1 x +1 into the form T Rx + S + х+1 where R, S…

A:

Q: Use separation of variables to find a product solution to the following

A: Using separation of variable we have to find a product solution of the following differential…

Q: f(x)=2/5- x +2 Ay 10– 8- 6- 4- 2- 8 10 12 14 -4 -2 -2- 2 4 -4- -6-

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: f(x)=x^3 for = -1, 4   f(-1) =  F(4)=

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Q: 1 45. f(x) = x - 1 - + 1 %3D = (x)6 |

A: In order to solve the given problem using inverse function.

Q: 1 Evaluate f x(x + 4)3dx OA) 3/7 (x+4)^(4/3) (x-3)+C

A: using substitution method to solve.

Q: Suppose f''(x) = 12x – 14, f'(2) = 49, and f(2) = - 32. %3D - %3D %3D Then f(x) = %3D

A: Given,           f"(x)=-12x-14, f'(x)=-49, and f(2)=-32

Q: Jse synthetic substitution to find fl-3) and f(4) for each function. 1. fx) = x +2r + 3 2. flx) =…

A: As per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly repost…

Q: f(x) = {" 2x – 4 if x > 2 if x 4 . 6 x -6. -4 -2 2

A:

Q: 2. What is the inverse of (x) = 9x + 5? x-5 a. --(x) =, b. f-'(x) = 9x-5 x-5 c. f-1(x) = d. f-1(x) =…

A: We have to find the inverse of  f(x) = 9x+5.

Q: x²+1 if -20sxs0 --4x Find fogX3). Let f(x)=-3x+2 if if 3<xs5 and g(x) = X+1 X-6 5<x59

A:

Q: = 1 – _X k – 1 k + 1

A: We can eliminate the arbitrary constants as below.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.