If g(x) = x2+4x with x greater than or equal to -2, find g-1(5).

Q: The cost and revenue functions for a certain firm are given by  C(x) = 15x + 36,000  and  R(x) =…

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Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

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Q: Given f(x)=2x^2+1 and g(x)=8x-9 Solve for (fof)(-2)=

A: Given: f(x)=2x2+1 and g(x)=8x-9. Now, we need to solve for (fof)(-2).

Q: Find a solution of by fixed point method for f(x)=x^3+x-1=0 ?

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Q: Given h(x) = (-x² – 2x – 2), find h' (0)-

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Q: The graph of f(x) = 2x° + 15x² – 84x + 18 has two horizontal tangents. What is the negative value of…

A: Here, f(x)=2x3+15x2-84x+18

Q: find the critical points for the function f(x)= 2x³ – 3x² – 72x-11

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Q: X-3 1-7X ガ ニ ー4x2 f-14X4|l 5-X if x>l

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Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

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Q: Find g" (1) for g (x) = xª – x³ + 2x -

A: Topic: differentiation

Q: Find the domain of f(x)=ln(4x-20)+ln(x 2+9x+18)

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Q: 2. f(x) = 9x2 - 1 at x = 1

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Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: If g(x) = max {x, 1/x} what is g(x) when x ϵ N2 (.5)?

A:

Q: Find h' (2) if h(x) = 1n(x + √(x2 - 1)) h'(2) =

A: Given hx=lnx+x2-1

Q: If Iƒ g(x) = −3x − 4 and h(x) = −x² + x, find g (h (8)). -

A: Given gx=-3x-4hx=-x2+x

Q: Find f(x) by solving the initial value problem. f'(x)=3x2+4x-3; f(2)=4

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Q: (x* -3x,ifx 22 Find g(x). g(0). g(-2) x+2, ifx < 2

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Q: Given f(x) = 3x° + kx – 10, and x – 2 is a factor of f(x), then what is the value -- of k?

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Q: fG)=4x-3 SCx) == (s09) (x)=

A: gx=x2

Q: find the critical value of F(x)= 10x^2 + 12x +5

A: The objective is to find critical value of F(x).

Q: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: f (x) = 3.x5 5x3.

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Q: Find the general solution for: X' = là X. -3 %3D

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Q: The constant term of f(x)=x2+4x3+1 is 1. How can you say that 1 is the constant term?

A: fx=x2+4x3+1

Q: By using (fixed point itration), Find a solution for f(x) = x3 + x - 1 = 0

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y…

A: The line tangent to y=fx at x=3 is y=4x-10 &amp; the line tangent to y=gx at x=5 is y=6x-27. Put x=3…

Q: An animal feed company must produce 200 kg of mixture consisting of ingredients x and x2.x costs 3…

A: we will first formulate the LPP using the given statements and then we will find the optimal…

Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

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Q: Find the point(s) of intersection. f(x) = 2x2 − 7x − 18 and g(x) = 3x + 10

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Q: n f(x)=6x– 2 and g(x)=x² – 3x – 4 , find (f•g)(x). | -

A: Given :          fx=6x-2gx=x2-3x-4

Q: If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

A: We can find the answer as below.

Q: For the function z = x3 - 2x2y2 - 2y2 Please solve Zx and Zy

A: To find: The value of zx and zy. Given: The function is z=x3-2x2y2-2y2. Formula used: Power rule of…

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: With f(x) = 3x +1 and h(x) = 2x – 4, find (f o h)(5)

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Q: Find the critical points of the function f(x)=x2−4x+3x−2.

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Q: 3. Find (fo g)' ; if (x)= x+4 and g(x)= 2x -5.

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Q: What type of equation is g(x)=x^2-1

A: We have to find what type of equation

Q: What is g'(x) when g(x) = ln (x³ + 3x² + 5x + 6)?

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Q: Given f(x)=2x @ g(x)=3x+4,solve for (g o f)(x)

A: Given- fx = 2x, gx = 3x + 4 To find- Solve for g∘fx

Q: 3 The graph of f(x) = 2x° + 15x² – 84x + 24 has two horizontal tangents. One occurs at a negative…

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Q: Find the attractive fixed point of g(x) = 4x - x2 4 | 2

A: Fixed point: The point of intersection of y=f(x) and line y=x are known as fixed points: Example:…

Q: Find f by solving the initial-value problem. f'(x) = 9x2 + 2x – 4; f(2) = 2 - f(x) %3D

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Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

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Q: Find the points of discontinuity for 3(x+2)2 a) h(x) x3 + 4x2 + x- 6 6x- x2 b) f(x) = 9 - x2

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Q: Solve for f(g(x)) and g(f(x))

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.