describe the domain of the following functions. show all work  f(x)= 1/sqrt(2-x2)

Q: Sketch the domain of the following function. f(x,y) =/x - y -4 %3D

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Q: Determine the domain of the function. f(x) = xl/4

A: fx=x14

Q: f(x)=sqrt(1-x^2)

A: The square root function is defined for only non-negative real numbers. So to be well defined, we…

Q: determine where the function is concave upward and where it is concave downward  F(x)= 5 cube root…

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Q: Determine the implied domain of the following function. Express your answer in interval notation.…

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Q: Find the domain and range of the following function f(x) = |x| – 2 %3D

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Q: Determine if the given function is homogenous or not: f(x,y) = sqrt(x-y)

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Q: Suppose that a particular function f satisfies f" (x) = 12x? + 6x + 8, ƒ(0) = 1, f' (0) = –1. Then…

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Q: Differentiate the function. h(x) = 11 csch-1 (x³) Give your answer in exact form. h'(x) = %3D

A: In this question we have to differentiate the given the function.

Q: Consider the following function f (x) = 2 |2 - 2|- la 4| What is f(35)

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Find all functions of the form g(x) = mx + b that commute with the function f (x) = 2x. Can you…

A: Find all functions of the form g(x)=mx+b that commute with the function f(x)=2xwe need to explain in…

Q: Find all the inflection points of the function. f(x)=(x+3)/(x+1) x=

A: Solution is given below....

Q: 3

A: Given that: The length of the function isfx=251-2x Substitute the value x=3 in the given function,…

Q: Sketch the graph of each of the following functions from your knowledge of the graph of the square…

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Q: Can a function such as f (x) = 53x be written in the form f (x) = bx? If so, what is b?

A: Comparison of the functions helps to determine the validity of the statement. The given function is…

Q: What kind of functions is the following function f(x) = :? (x2-1) %3D

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Q: Find invers of function f(x)=1/2x+1

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Q: Explain why you can not apply the mean value theorem to the function f(x) = x2/3 on the interval…

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Q: Consider the following functions. f(x)=x^(3)-8 and g(x)=\sqrt(x+1)   Find the domain for (fg)(x).…

A: Here the composition of functions are required and the concept of square root function to find the…

Q: Express the function in the form f ∘ g.

A: To express the function in the form of (fog). G(x)=1x+3 Solution: Given,G(x)=1x+3 We know,…

Q: Consider the function below. f(x) = Vx - 16x + 48 %3D What is the Domain? Enter your answer in…

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Q: Which of the following functions are 1-to-1? f(x) = x² + 2x 3, g(x) = 4x – 1, h(x) = |2x +2| %3D

A: Only  g(x) is one to one function.... Concept: If the derivative of given function is strictly…

Q: What type of discontinuity does the function f(x)=xsecx have?

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Q: Consider the following function: 6x + 9 f(x) = x+ 8 Step 1 of 2: At what x-value is the function…

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Q: What is meant by “the value of a function at x”?

A: Let the function be f(x).

Q: Sketch the graph of each of the following functions from your knowledge of the graph of the square…

A: a) Domain   Range b) DOMAIN RANGE

Q: How would you limit the domain to make this function one to one? f(x) = (x– 4)2 %3D

A: We have to limit the domain to make the function f(x)=(x-4)2 one to one.

Q: Differentiate the following function using the 4-step method, indicate each step and explain it,…

A: Given:    f(x) = √(x2+3)   Solve using 4-step method

Q: 3 Show that the function f(x) = Vx – 5 is one to one function. %3D

A: The objectives to show that the function f(x) is one to one function.

Q: Find domain of the following functions

A: Consider the given function.

Q: Find the domain of the following function. f(x) = V3x – 45 (Зх — Give your answer in interval…

A: Given : fx = 3x-45

Q: Find the domain of the following function 1 f (x) = 2+ %3D

A: To Determine :-  The domain of the function : f  x  = 12 + x

Q: Calculate the extremum point of below function and Classify it f(x) = 4 x³ + 2 v11 – x + x?

A: It is given that fx=4x3+211-x+x2. We have to find the local maximum and local minimum points of the…

Q: R(x) = //x – 1 X.

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Q: On what domain is the function f(x) = 3x + 5x + 6 continuous?

A: The given function is, fx=3x2+5x+6

Q: III. Verify if the function is continous at the point. 1. f(x) = x³ – 2x² + x – 5 at x = 0

A: f(x) is continuous at x=0 if- limx→0-f(x)=limx→0+f(x)=f(0)

Q: x +1 if x 2 if 1<x<2

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Q: Find the domain of the function in interval notation: f(x) = V + 17 %3D

A: Domain is the set of x values for which the function is defined We know that square root (negative…

Q: Differentiate the following functions. Use any applicable method unless otherwise specified. 4. a.…

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Q: Differentiate following functions the f(x) = x²-1 2²71

A: I have given the answer in the next step. Hope you understand that

Q: Consider the function f(x) = /sqrt{x-9}. For that function, can you find the expression for (f(x -…

A: Given that f(x)=x-9So, f(x-h)-f(x)h=x-h-9-x-9h

Q: Q1) Verify the domain and associated range of the following function: 1+ x2

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Q: Consider the following function. f(x) = { 35 4x – 1 if x 1

A: We will use the fact that

Q: We are interested in the function of X defined by X2. What is CDF of Y in terms of CDF of X? (Note,…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: Sketch the following function and discuss its continuity and differentiability. |x² – 1| – 1, x 1

A: Given: fx=x2-1-1,                       x≤12x-3-x-2,              x&gt;1 We want to sketch this…

Q: Find the first if the following function f(X) from the first principle xsinx

A: First principle of derivative.

Q: 3 Show that the function f(x) = Vx – 5 is one to one function.

A: The given function is: fx=x-53

Q: Show the following concepts are true by providing specific examples of the functions and apply the…

A: Give examples: For f∘gx=g∘fx. Calculation: Assume fx=x2 and gx=x, then f∘gx can be obtained as,…

Q: for the following function find (f-1)' (a). f(x)= x+ sqrt of x, a=2

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: