Does the function f (x) = 4 have an inverse? Explain your answer.

Q: fcx)こ2え?

A: Explanation and solutions is given below....

Q: Identify the invariant points of f(x)=4x+2 and it's inverse. Justify your solution.

A: Explanation of the solution is given below...

Q: Find the inverse function of f. f(x) = 3 Fx) =

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Q: Explain why every nonconstant linear function has an inverse.

A: Given: A linear function has an inverse.

Q: what is the inverse of the linear function   h (x) = x+7/4?

A: The given function is: h(x)=x+74

Q: Find the inverse function to y=F(x)=(4−5x)/(3−7x). X=g(y)=

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Q: h(x) = Vx + 3 %3D

A: The given function is: h(x)=x3+3

Q: Verify graphically that the functions f(x) = 2x – 3 and g(x) = }(x + 3) : are inverse functions of…

A: Explanation: Given that,  f(x)=2x-3g(x)=12(x+3)       Concept Used: We know that , In case of…

Q: Find the inverse of the function f(x) f(2) =

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Q: Are the functions f(x)=5x-4 and g(x)=4x-5 inverses? Explain

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Q: What can you conclude about the inverses of functions whose graphs are lines parallel to the line y…

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Q: What is the inverse of the function f(x) = e\? %3D

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Q: f(x)- 2.3*- 3

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Q: 2. The inverse of one-to-one function f(x) = 4(3"-) is

A: Given : fx = 43x-1

Q: What is the inverse of this function and how do I solve it?

A: See the attachment

Q: Suppose that x and y vary inversely, and x = 20 when y = 8. What is y when x = 16? What function…

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Q: 4) g(x) = 2x - 2

A: Take g(x)=y and find x in terms of y

Q: When it comes to finding the inverse of a function, does step 3, solving for y, always involve the…

A: i.e. Step 1 To find the inverse of f(x)=-13x+1 Place y in for the f(x) ⇒y=-13x+1 Step 2 Interchange…

Q: Differentiate the following function. - 8x f(x) = 4x e

A: Given: fx=4xe-8x for finding derivative of this we will use some formula of differentiation given…

Q: Find the inverse of the function on the given domain. f(x)=(x−10)2 , [10,∞)

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Q: You need a total of 50 pounds of two commodities costing $1.25 and $2.75 per pound:-   What is the…

A: You need a total of 50 pounds of two commodities costing $1.25 and $2.75 per pound: What is the…

Q: Find the inverse of the function on the given domain. f(x)=(x−13)^2, [13,∞) I am just not sure how…

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Q: determine the simplified equation of the new function h(x) = f(x) + g(x), where f(x) = 2x - 3 and…

A: From the given problem: fx=2x-3 &  gx=x+1 And hx=fx+gx So, we can write as: hx=2x-3+x+1

Q: determine the equation for the inverse of the function f(x) = x/2 + 6

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Q: How does your relationship with someone special related to the one-to-one and inverse function?

A: We will try and understand one one functions and inverse functions using the relations around…

Q: Find the inverse of the function: f (x) = 4x

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Q: What is the inverse to function #5 and how do I solve it?

A: We have to use properties of inverse function.

Q: What is the inverse of the function y = x² ?

A: The inverse functions are symmetric about the line y=x . The inverse function of is denoted as  .

Q: Find the inverse of the function y = In (x - 2). %3D

A: y = f(x) = ln (x-2) ey = x-2 x = 2 + ey x = f-1(y) = 2 + ey

Q: Find the inverse of the function f(x) = 5. x+2. -

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Q: Does the function below have an inverse? Explain.

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Q: What is the inverse function f(x) equals 1/4 X -12? Ok 

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Q: why or (a) Are f(x) = 3x –1 and g(x) = ¿(x – 3) inverse functions? Why %3D not?

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Q: f(x) = 2x + 3 - g(x) = 5x +7

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Q: The inverse of the function f (x) = 3 – 2x is x+1

A: Solution of question is written in step2.

Q: What is the equation of the inverse for this function?

A: we have to find the inverse of the function f(x)=log2(9x)

Q: Find the inverse function of f(x) = 3x +2 %3D

A: Given function is: f(x)=3x+2

Q: What is the inverse of f(x) = x+1?

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Q: Find the inverse function of f(x) f'(x) = v8x +7.

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Q: What procedure can you sometimes use to express the inverse of a function of x as a function of x?

A: Consider f(x) to be a function of x.

Q: whats the inverse of f(x) = 2x

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Q: Find the inverse function of f(x) = 3 + . f(z) =

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Q: Find the equation of the inverse of: f(x) X - 2

A: See solution and algorithm for finding inverse function below

Q: Find the inverse of the function f(x) 3 - f-(x) =

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Q: bes f(x) = |x + 3[have an inverse function? Why or why no

A: It will have following conditions

Q: What is the inverse of the function f(x) = 4x* – 1? %3D -

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Q: Find the inverse function, f (x) for f (x) = %3D x+2

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Q: Find the inverse of the function. f (x) = 5+ V3x – 3 -

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Q: Why do we restrict the domain of a function when we are finding the inverse? *

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.