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

Q: what is the inverse of the function below?

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Q: Obtain the graph of the inverse function from the graph of thefunction

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Q: Find the inverse of the function f(x) = x². f- (7) The domain of f- is |

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Q: Only functions whose graphs pass the ___________ _____ test will have an inversethat is also a…

A: To Determine: Only functions whose graphs pass the ___________ _____ test will have an inversethat…

Q: find the inverse of the function. (Enter the domain using interval notation.)  f(x)=4x-8 in square…

A: We have to find

Q: Find the inverse function of the function f(x) = 2x5 on the domain x > 0.

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Q: Find the inverse of the function. (Enter the domain using interval notation.) f(x) = (x + 3)², x >…

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Q: Find the inverse of the function with the domain given. (Enter the domain using interval notation.)…

A: Explanation of the answer is as follows

Q: find the inverse of the function. (Enter the domain using interval notation) f(x)=(x+5)^2, xis…

A: Given query is to find the inverse of f(x) and domain of f-1(x)

Q: What do you learn about one to one and inverse function

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Q: Find the inverse of the function. Show your work using the Equation Editor Tool. f (x) = – 5 |

A: given that, f(x)=x4-5 find the inverse of the function

Q: f(x) =x2- 10

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Q: How do you evaluate csc^-1(sec2)? It's an inverse function

A: We have to find the value

Q: Only a ____ ___ _____ function will have an inverse that is also a function.

A: Given- Only a ____ ___ _____ function will have an inverse that is also a function. To fill- The…

Q: Use symmetry to graph the inverse of the function.

A: In this we are going to use the symmetry of inverse function around line y=x, so I'm providing hand…

Q: Does adding a constant term to a function affect the existence of an inverse function? Explain.

A: Does adding a constant term to a function affect the existence of an inverse function? Explain.

Q: Compute the inverse function. What's the signficance of も.fX)ニメーメー2×70

A: Our Aim is to compute the inverse of the function f(x)= x2-x-9, x>0.

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: Does the function below have an inverse? Explain.

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Q: How do I find the inverse function of f(x) = 1/x+4?

A: Given function,  Let y = f(x)

Q: Find the inverse of the function on the given domain. f (x) = (x – 10)2, [10, 0) f-1 (x) = QUETIP

A: Take the given function as equal to y the and d find value of x in terms of y.

Q: Find the inverse of the function on the given domain f(x) = (x + 2)2, [-2, ∞)

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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: What is the inverse of a function from A to B under function composition?

A: Let f : A→B be a bijective function.

Q: Can this be a one to one function?

A: Defnition:  Let f:R→R be a function , if f is said to be one to one then every element in domain has…

Q: Find the inverse of the function f(x) = – 5x² . f-'(x) = The domain of ƒ-' is

A: Solution:- let f(x)=y

Q: Describe the relationship between the graph of a function and the graph of its inverse function

A: Given that graph of function and graph of its inverse function.

Q: Let f(x) = (x − 2) / (x − 1) . Show that f is its own inverse function. What can you conclude about…

A: Given function, y=fx=x-2x-1

Q: What condition does a function have to meet to have an inverse and describe the process to find that…

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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: 14. Is the inverse of a function always a function? Explain.

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Q: Explain why only one-to-one functions have inverses that are also functions.

A: We know that a function f:A→B is a special type of relation. We are interested in getting the…

Q: The function f has an inverse function, f −1 . Is the domain of f the same as the domain of f −1 ?…

A: The function f has an inverse function, f-1 . Is the domain of f the same as the domain of f-1 ?…

Q: Are these functions inverses? No Yes

A: It is known that the graph of inverse function can be obtained by reflecting the graph of function…

Q: Let's Practice! Find the inverse function of f(x) = 4x - 1 and verify the inverse. %3D

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Q: Find the inverse function for f(x)= 2/x-1. Show all work.

A: Let the given function be written as,

Q: How would I use this graph of f to draw its inverse function?

A: We know that if f(x) is a linear function , then inverse function of f(x) is also linear , so graph…

Q: How are the graphs of a function and its inverse are closely related?

A: The function f(x) and g(x) are the inverses of each other if it satisfies the identity…

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: fex)= -X3+ Q

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Q: If f(x) has an inverse function f-¹(z), could either the graph of for the graph of f be symmetric…

A: Given that fx has an inverse function f-1x. We have to check and explain if either the graph of f or…

Q: how do I find the inverse function of f(x)=1/x?

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Q: Explain how to determine if two functions are inverses of each other?

A: Two functions f and g are said to be inverse of each other if their composite function is the…

Q: I am studying for a precalc exam. Could you explain how to find the inverse of a function such as:…

A: Plug g(x)=y , then switch x and y.

Q: f(x) = x² is inverse function on integer number?

A: The inverse is f-1(x) = √x

Q: How are the domains, ranges, and graphs of functions and their inverses related? Give an example.

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