• The domain of f(x) = 3-x is x2 -1 %3D

Q: Differentiate

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

Q: f(x)=x+5 glx)=x -1

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

A: According to the Q&A guidelines, one question can be answered. Please repost other questions…

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: . f(x) = 5x + 2; g(x): -2) - f(x) =x - 7; g(x) = 2x + 14

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Q: 5 [f(x) + 7g(x)]dx if 5 | fx)dx = 3 and / g(x)dx = -8. -3 -3 5 (f(x) + 7g(x)]dx = -3

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

A: 1. f(x) + g(x) = x5 + 2x3 + 3x2 -3x +3   2.  f(x) - g(x) = -x5 +2x3 + 7x2 - 3x +5

Q: 3. f(x) = ez* – x² – 1 (Xi = 5) ез || -

A: Here we use python to solve this problem.

Q: Find (fog)(x) where f(x)= /x-15 g(x) = x² + 2x

A: To find fog(x)

Q: 1 g(x) (1 – x)3'

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Q: 6 9x f(x) =x° e

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Q: 4. f(x) = -3|x - 4| + 6; vertical shrink by a factor of g(x)=

A: We have to write a function 'g' whose graph represents the indicated transformation of the following…

Q: 2. f(x) = x| (0, 1)

A: Given: fx=x, 0,1

Q: 8. f(x) = 2x +9x + 4 x² -16 a) HA at b) VA at (2x+1)(x+4) (x+4)(x-4)

A: From the given function: fx=2x+1x+4x+4x-4 As we know that for vertical asymptotes , equate…

Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: Find the relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: Sx² +2x + 1 d. h(x) = 15x – 1 - VRIGH 3x + 2 e. f(x) = {x +5 x² - 5 x 4 A VI

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Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

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Q: What values of a and b maximize the value of ! (7x-x) dx? a

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Q: 16) g(x) = 4x - 5 s(x) = x' + x² Find (g + f)(-2)

A: Given,      g(x)=4x-5      f(x)=x3+x2

Q: 2. Derivative of f(x) = - 9x + 4 is: a) 9 b) - 9 c) 4 d) 0

A: Derivative of constant is 0

Q: Differentiate. xex - f(x) x + eX x². e* + e2x + 8 + 8e* f '(x) = (x+ e*)? 2

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Q: 2. f(x)=x²-6x X -6x Vertex x-intercept(s)

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Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x)= |2) - h)(x) = 3) (hg)(x) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 4. g(x) = (3x − 2)4; g"" (x)

A: We can find the derivatives as below

Q: f(x) = e^(-x2+x) yp = e^(-x2)

A: Y = CF +PI

Q: Find the relative extrema of f(x) = (x2 − 4)2/3

A: Given function is fx=x2-423 Differentiating the given function with respect to x,…

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

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Q: e. f(x) = 2* DA. O(x²) B. 2(x²) Oc. O(x²) . f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²)…

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Q: (e) x+1 f(x)= 10(x-2)

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Q: f(x)=x2-2x+4     g(x)=x2+2x-4 (f o g)(4)

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Q: + x) at a = -2

A: The Taylor series of a function fx at a point x=a is defined as f(x)=∑k=0∞f(k)(a)k!(x−a)k where fna…

Q: f(x)= s-1)² - 1

A:

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: Graph the following functions.

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Q: Find the derivative

A: Use the chain rule and division form of derivative and simplify.

Q: 2. f(x) = - 2x + 6 g(x) = - x/2 + 3

A: Given: fx=-2x+6 gx=-x2+3 fgx=-2-x2+3+6           =x-6+6           =x gfx=--2x+62+3…

Q: The sales of a product produces revenue R(x) where x represents the amount spent on advertising.…

A: Solution :-

Q: Given the revenue function R(x) = x³ + 3x2 +x .Find the average revenue of producing 100 units. %3D

A: Given the revenue function, R(x), the average revenue of producing 100 units is R(100)100

Q: 47. f(x) = /4 – x², 0 s x< 2

A: 47Given that fx=4-x2   , 0≤x≤2Solution a if we find inverse of the function then we interchange x to…

Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2

A: We can find the answer as below.

Q: f(x)=8x+1 g(x)=7/x+1 (f*g)(x)= ?

A: Givenf(x)=8x+1g(x)=7x+1

Q: 4) g(x) 5 at x=3

A: Given,  g(x) = 15·13x at  x = 3 g(x) = 15·133 =15·133=15·127 =1135

Q: 7. g(x) at x = 8 %3D 4- x

A: Note:- As you ask solution only of No. 7 so i am solving only it.

Q: V4 - x 8. g(x) = at x = 0 %3D

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Q: e) (f-g)(-4)= %3D

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Q: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

Q: 4. f(x) = 10-5x² 5. f(x) = e[ 6. f(x) = /In(e 3x + a³x) %3D

A:

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function:

Q: 47. f(x) = (x- 2) %3D 50. f(x) = -x + 4x %3D

A: Concept Used: Degree Leading coefficient End Behavior Even Positive Even Negative Odd…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.