77.) Find the inverse function of f algebraically. Graph and describe the relationship between f and f-1. f(x) = V4-x2,0

Q: The function is defined by f(x)=√x. Write down the expression for h (x).

A: Given: and f(x)=x.

Q: Find the domain of the function. G(x) = √(1 - x)

A: To find the domain of the function

Q: Determine (algebraically) whether the given function is even,odd,or neither.

A: To determine (algebraically) whether the given function is even, odd, or neither. f(x)=x1+x2

Q: How has the function g(), shown below, been transformed from the parent function, f(x) = x² ? g(x) =…

A: We can translate a graph of f(x) right c units by subtracting c inside the function argument f(x—c).…

Q: 7. Consider the function g(x) = =-4 Describe how the function g(x) was transformed from the parent…

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Q: What is the relation between a one-to-one function f and the function (f-1)-1? 1.

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: 18. Are these two functions inverses of each other? Explain by showing your work. (Hint: f(g(x))and…

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Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,…

A: Topic:- calculus

Q: 24 Find the function that corresponds to the graph below. -5 f(x) = 1 · 4* O f(x) = 2· 4* f(x) = 1 ·…

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Q: Find the inverse function of f(x) : x – 8 – 5. Specify the domain for f-'(x) Domain of f-1(x) using…

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Q: Which of the following constitute the values of domain of f(x)=

A: domain is the value of x for which function is defined.for exa if function value is f(x)=√x-2 so…

Q: The function notation f^-1 (x) mean 1/f(x)

A: Yes this statement is true. And also f-1(x) is inverse of a function. While 1/f(x) is reciprocal of…

Q: 58. Given that the domain of a one-to-one function f is [-3, 5) and the range of f is (-2, ∞), state…

A: Given, the domain of a function f is [-3,5) and range of is (-2,∞)

Q: - Determine algebraically whether the function is even, odd, or neither. a. f(x) =-2x*-x2 b. f(x) =…

A: Solving the problem by finding the function is even or odd.

Q: Find f'(-2) whenever f(x) = x2 +2x 1 - O -e? O-e-2 O e? O e-2

A:

Q: 12. Is the function f(x) even, odd, or neither? 2x + 1

A: Given function is: fx=x22x+1 We know that a function f(x) is said to be an even function of x if…

Q: Consider the function f(x) = /4-x +1 for the domain (-00, 4]. Find f(x), wheref is the inverse of f.…

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Q: Consider f(x) =x² – 3x. In which interval is the function decreasing? [-1,0] [3,4] [0,1] [2,3] [-1,…

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Q: Determine whether the function is even, odd, or neither. f(x)=√4x O Even O Odd O Neither Show your…

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Q: Determine ALGEBRAICALLY whether each function is even, odd, or neither. f(x) = 2x – a? + 4 In order…

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Q: a) Explain why the function f(x) = e#² is not injective (one-to-one) on its natural domain.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 5. Explain how to transform the graph of the function f((x) = x to obtain the graph of the related…

A: 5.  Given f(x) = x2.....(1)g(x) = -2 f(x+1)-3  .....(2)from (1) f(x+1)=(x+1)2 ∴g(x) = -2(x+1)2-3 To…

Q: Determine ALGEBRAICALLY whether each function is even, odd, or neither. f(x) = 3x – x In order to…

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Q: 2 10. Find the inverse of f(x) + 7,x # 5, then illustrate the f(x) and its inverse 5-x in one graph.

A:

Q: function

A: Given : f(x) = -2+4 To find : f(1)

Q: 5. Evaluate the difference quotient for the function: f (x) = x- 5 f(x+h) - f(x) %3-

A:

Q: 3. Write the function F (x) = x3+6 as a composition of three or more non- x3 identity functions.

A: The given function is, Fx=x3+6x3-9

Q: What is the end behavior of the given function? f (x) = 3V-x – 2 As x → 0, f(x) → -∞. As x → -, f(x)…

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Q: 4. Consider the function if x > 0 {2 if a < 0 g : R – R, g (x) = -2x2 Is this function bijective?…

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Q: 7. Given the sketch of f(x), create the sketch for f'(x) fAx)

A: We have to sketch the graph of the function f'x. First we have to find the function of the given…

Q: 1. Write a function of x, f(x), such that the following graph represents y=f(x).

A: Here we need to find a function for given graph in the question. According to the definition of…

Q: Find the inverse function of f(x) Va + 3. Specify the domain for f-1(x) f-'(x) = Domain of f-1(æ)…

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Q: Refer to the function f(x)=[x] determine f(-4.1)

A: Greatest integer function

Q: 7. Consider the function g(x) ==-4. Describe how the function g(x) was transformed from the parent…

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Q: What is the new function for g(x)

A:

Q: 18. Are these two functions inverses of each other? Explain by showing your work. (Hint: f(g(x))and…

A:

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)=x3+x+1. Let's suppose that it has an inverse g so that g(f(x))=x. What is…

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Q: Use the graphs of f and g to evaluate the function. = g(x)

A:

Q: determine if this function is even or odd or neither. f(x)=1-x^2/1+x^2

A: Given function  f(x)=1-x^2/1+x^2 If a function said to be even if f(-x)   =f(x)  And a function is…

Q: What is the correspondence of f(x) = 3x - 6

A:

Q: 12-Sketch the function. · F(x)= - (x-1)(x+3)(x-7)

A: Topic:- function

Q: VII. Given that the domain of a one-to-one function f is (-3, 4] and the range is(-1,5). 12.) State…

A: Please refer the attached image for complete solution.

Q: (d) Use function notation to write g in terms of f. g(x) =

A:

Q: Express the function,h(x) = (2x - 5)3 as a composition of two functions f and g so that h(x) = (f ∘…

A: Given, hx=2x-53

Q: 11. Find the difference quotient for the function f(x)=(x+1), then simplify.

A:

Q: 15. (a) If f(x) = V3 – x, find the inverse function f. %3D (b) Sketch the graphs of f and f on the…

A: Given, f(x)=3-x

Q: 6. Determine algebraically the inverse of each function. If necessary, restrict the domain so that…

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Q: Determine whether the function f is one-to-one.

A:

Q: Let f(x) be a one-to-one function with the point (-1,2). If f'(-1) = 12, then find f-1(2)

A: fx be the one-one function having the point -1,2 and f'-1=12. So the inverse function is f-1(y)=x if…

Q: .1.Find the natural domain and range of the function f (x)=

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 3-f(x)=

A: Explanation of the answer is as follows