3. Sketch a graph f (x) = 2·3*-2 – 1. Find f-1(x) algebraically, then sketch f-1(x) on the same graph as f (x). What do you notice about the relationship between the graphs of f (x) and f-1(x)? Is this true for all inverse functions?

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A: topic - transformation

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A:

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A:

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Q: Q3: Classify the following as even or odd functions: x3, cos x, x5 - 3x3 + 2x, 2x6 - 4x2 +

A:

Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. Find one-to-one functions from Q to Q a) f(x) = x + 1 b) f (x) = x* + x² + 1 c) f (x) = x³ d)…

A: We have to find all the one - one functions from Q to Q.

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

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A: Given: ------------------------------------------------------------------------------------------…

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A:

Q: 16. Given f (x) = x/(2+x) and g(x) = 2x/(1-x): a. Find f (g(x)) and g (f (x)). b. What does the…

A: Given functions:

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A: use composition of function to find the function f(x).

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A: Given: fx=-2sinπ2x-1

Q: given the function f(x)=4x^3 -5, we calculate f^-1 (x) to be

A: To find the inverse of

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A:

Q: 2.) For the functions f (x) = 3x + 5 and g(x) = 2x – 8 find (E) (x) and give its domain in interval…

A: Consider the functions  f(x)=3x+5g(x)=2x−8

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A:

Q: 1. Consider the function f(x) = -x² – 4x – 3 a) Determine f(-4), f(a), and f(a+ h).

A:

Q: Consider the following function. f(x) = x/x2-25 (a) Make a sign diagram for the first derivative.…

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Q: 7. Find and sketch the domain of the function f(x, y) = 2 ln(49 – x² – y²) + 8/ -

A:

Q: Given f (x) = sin (z) and g (x) = x, the graph of the combined function h (x) = f (x) g (x) most…

A: Given  f(x) = sin(x) and g(x) = x

Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

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A: Please refer to the image below

Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

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A:

Q: 4. Find the functions f(x), g(x),h(x) that satisfy: f(g(h(x))) = 2.

A: A composite function is created when one function is substituted into another function .

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Q: 1.) Let f(x) = 7 + What is f(3 + h)?

A:

Q: Explain in words the transformations that are occurring to the parent (₁ -2)]- X- function f(x) =…

A: Some transformations which are required before solving question are given here.

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A: Graph of inverse function is

Q: 9. The functionƒ has the property that f(x), f'(x), and f'(x) are negative for all rea values, x.…

A: Given The graph of functions We have to find the graph in which f(x),  f'(x) , f''(x)  all are…

Q: (a) Express the new function m(x) = ln in terms of the original function g(x) In(x). m(x) :

A: Given- mx=lnx2and gx=lnx To find- The value of mx in terms of gx. Formula used- lnab=lna-lnb

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A: Are you asked for Fourier transformation of f(x)?

Q: Please answer a,b,c

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Q: Find the domain of the function. g(x) = ln ( 1/x - 5)

A: given,

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A:

Q: 1. Sketch the graph of a function f having the given characteristics. f(0) f'(x) > 0 for x 1 f"(x)…

A:

Q: Sketch a graph of the function f(æ) = – sin(x). -T/4 T/4 /2 3n/4 5t/4 3n/2 元 7/4 -1

A: Given: A function, fx=-sinx. -sinπ4 -32 -sin0 0 -sinπ2 -1 -sinπ 0 -sin3π2 1 -sin2π 0…

Q: Let ​f(x)= 5x − ​1, ​h(x)= -x − 2.   Find ​(f◦​h)(−4​).

A:

Q: 1. The function h(x) can be expressed in the form f(g(x)) where g(x) = (x - 1) and -1 f(r) is…

A: We have given

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A: NOTE: Refresh your page if you can't see any equations. . but here

Q: 2 Sketch a graph of the function f(x) = 2 sin (-) 6+ 4 2 -8 -7T -6A -5T -4T -ŽA -2T 2π 3π 4π5π6ππ.…

A: To graph y=2sin(2x/3)

Q: Express the given function h(x) = 3√(x2 - 9) as a composition of two functions f and g so that h(x)…

A: Given function is  h(x)= x2-93.

Q: Let ​f(x)= −4x −​1, ​h(x)= -x - 4   Find ​(f◦​h)(6​).

A: Given,

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A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 1. Sketch the reciprocal of the function f (x) = x - 6.

A:

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Q: sketch the solid and a washer for the graph of these two functions f(x) =2 -(x-2)^2, g(x)=-x after…

A: