(a)find the inverse function of f, (b) use a graphing utility tograph f and f 1 in the same viewing window, (c) describe therelationship between the graphs, and (d) state the domains andranges of f and f -1.   f(x)=x^{3 / 5}

Q: How cabn the composite function be evaluated?

A:

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A:

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A:

Q: Show that differentiation reverses parity: If f is even, then f' is odd, and if f is odd, then f' is…

A: To show that if f is even then f' is odd  and if f is odd then f' is even

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A:

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A:

Q: sketch the approximate shapes of the graph of the two functions on the same axes without using a…

A:

Q: The slope of the graph of the inverse tangent function is positive for all x. True or false?

A: Given: The slope of the graph of the inverse tangent function is positive for all x.

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A:

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A: y=x+2sin x Let take first derivative y=x+2cscxy'=1-2cotxcscxNow take second…

Q: find the interverse of the function on the given domain. (Enter the domain using interval notation.)…

A: For (a),

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A:

Q: Find a formula for the inverse function f' and verify that 50 (fof *)(x)=(f*of)(x)=x, if f(x)=; Also…

A: Given that  f(x)=501+1.1-x--- (1) To find f-1(x) Replace f(x) as y in (1) y=501+1.1-x Swapping the…

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A:

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A: Plotting Graph.

Q: Define wronskian of Two Functions?

A: Wronskian of two function: Let f(x) and g(x) be two differentiable functions, then wronskian of f(x)…

Q: Sketch a rough graph of the function without using acalculator.   y=   -In x

A: To Determine: Sketch a rough graph of the function without using a calculator. Given: we have y=-lnx…

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A:

Q: Explain how to determine whether a function is continuous at a number.

A: Given: Condition of whether a function is continuous at a number

Q: What are the variety of important types of functions frequently encountered in calculus?

A:

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A: there are many types of functions but a function that is defined over multiple equations over a…

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A: the given function is  f(x)=(x-4)2,  [4,∞)

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A: A function is continuous at a point if the three following conditions are met: 1) f (a) is defined.…

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A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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A:

Q: Find the derivative of each of the following functions, first by using the product rule, then by…

A: NOTE: WE ARE ONLY ALLOWED TO SOLVE FIRST THREE PARTS. FOR REST ANSWERS, PLEASE POST THE QUESTION…

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A: NOTE: Refresh your page if you can't see any equations.     . take derivative

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A: Graphs of inverse functions have a domain and range just like any other graph of a function. The…

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A: Given,         fx=x+42-8 , [-4,∞)

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A: use the trigonometric identities to simplify and the solve. detailed explanation is in step 2 answer…

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A: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

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A: Given: f(x)=tan x Take the values of f(x)=tan x at different values of x. x -π -π2 -π4 0 π4 π2 π…

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A:

Q: 1/3 for

A: Answer

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A: let f:X→Y be any function from a non-empty set X to a non-empty set…

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A: A function is said to be invertible function when it has an inverse .

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A: Given figure, Given that, Pythagorean  AB = 6 ft DE = 8 ft AD = 10 ft Let AC = x S0 CD = 10 - x

Q: Teast sq function

A: Given h(x)=e2x+sinx

Q: This curve of function belonging to th

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A: f(x)=(x+4)2-8 To find inverse , replace f(x)by y then swap the variables x  and y .  f(x)=(x+4)2-8…

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Q: Find a formula for the inverse function f and verify that 50 ( fof )(x)=(f*of)(x)=x, if f(x)= Also…

A: As per bartleby guidelines, for more than one questions asked only one is to be answered, kindly…

Q: What are the important types of functions frequently encountered in calculus? Give an example of…

A: Some of the important functions encountered in calculus with examples are as follows.