(x-1) find Given f (x) = %3D (x + 2)

Q: 3. f(x)=| -1 %3D 5

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

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

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Q: f (x+h)–f(x) ,h+ 0 h fx) = -10x + 3h - 12h f(x) = 6xh + 3h - 5h O ) = 6x • 3h -5 fx) = 6x + 3h + 5

A: Let's find.

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: 2. f(x) = x +8 Domain: Range: 3. f(x) = 9 Domain: Range:

A: 2. Given a function, f(x)=x+8

Q: f(x) = 3x + 5 g(x) = 4x² – 2 %3D h(x) = x² – 3x + 1 Find f(x) - g(x) – h(x). O - 5x + 6x + 6 O -5x +…

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Q: 15. f(x) = x +10x + 25x Zero Multiplicity Effect

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Q: Sketch the graph of the function.

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

Q: f(x) = 5x csc x 7 f (x) = 100 + 2cosx – 3x+x 3.

A: *formula:- d/dx (cscx) = -cscx*cotx. d/dx (x^{n}) = nx^{n-1}. d/dx (cosx) = -sinx.

Q: 1 g(x) (1 – x)3'

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Q: 2 Find [f(x) + 5g(x)]dx if 2 |f(x)dx = 8 and / g(x)dx = -1. -4 [f(x) + 5g(x)]dx = i -4

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Q: kx +5, g(x) ={ 2 (3x+x², x<-2 If the function x2-2 is continious at x=-2, then find the value of k .

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

A: Given: fx=x, 0,1

Q: 2. f(x) = Sx + 2 Solution: Domain Range 3. f (x) = Solution: Domain Range - SK) = x² +2 Solution:…

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

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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 S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =

A: To find f'(-1) first we differentiate both sides of  the given equation with respect to x and then…

Q: the integration of : f(x) = - 2x+4/(x^2+1)(x^2-4).

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Q: g(x)=(4x^2-5x+1)e^x g'(x)=

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Q: F(x)= X^3-18X^2+81X Maximas occur at x=

A: Assume x=c is the critical point of f(x). If f'(x)&gt;0 to the left of x=c and f'(x)&lt;0 to the…

Q: .3 f(x)dx = 5, f(x)dx = 2, and f(x)cx= - 1, find f (x) dx If A) 2 в) -з c) 3

A: Topic = Integration

Q: The population of a city is expected to be P(x) = x(x2 + 16)−1/2  million people after x years. Find…

A: The population of city after x years is  Px=xx2+16 We have to find average population between year…

Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

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

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Q: 4. t(x) = (x - 3)3 5. h(x) = -x² 6. f(x) = V=x 7. f(x) = 2x2 %3D

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Q: 20. f(x) = In x + 2e 3x2

A: Topic = Derivative

Q: on points of f(x) = 4xª + 38x³ – 30x² + 10. (Give your list e g 3.-2) answ

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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) x+1 f(x)= 10(x-2)

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Q: 2) f(x) =15 - 8x A) s'(s) = B) s"(x) = x 2 C) 3x- 15 s"(x) = 8. D) s (x) = x - 5 3.

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Q: f(x) = x – 1 m(x) = 3x + 2 h(x) = -4 g(x) = x2 – 5x + 4 4. (m • g)(x) 5. (mof)(x) 6. (g - f)(x)

A: (m×g)(x)=m(x)×g(x)given:m(x)=3x+2 and g(x)=x2-5x+4(m×g)(x)=(3x+2)(x2-5x+4)=3x3-13x2+2x+8

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

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Q: 5 Find (f(x) + 5g(x)]dxif -5 5 5 | f(x)dx = 8 and g(x)dx = -4. -5 -5 5 f(x) + 5g(x)]dx = i -5

A: The given integral values,∫-55fxdx=8 and ∫-55gxdx=-4

Q: f'(x) = -2xe f"(x) = (4x² – 2)e- f(4) (x) = 4e* f(3) (x) = -4xe-" (2x² – 3) (3 –12x² + 4x*)

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Q: 5x -1 7. f(x) = 3. a) HA at b) VA at

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: f(x) -ax e = X <0

A:

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

A: Given : fx=-4x+6  gx=x-6

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

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Q: 4) f(x) = ! g(x) – - - - 3

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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: 2) f(x) = x + 5 glx) = -x - 5x Find f(g(-4))

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Q: f(x) = x – 4; g(x) = 5(x) - Ay

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

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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…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.