THE INVERSE OF ONE-TO-ONE FUNCTIONS | General Mathematics | Quarter 1 - Module 12

THE INVERSE OF ONE-TO-ONE FUNCTIONS
At the end of this video lesson, you are expected to:
1. Determine the inverse of a one-to-one function.
2. Write a letter to a family member or peer about making amends on regretful events which cannot be undone.

[shainafrancisco]

Shaina E Francisco
11 - Genesis (Bread and pastry )
In this video lesson, I learned that a function f is one to one and has an inverse function if and only if no horizontal lines intersect the graph of ff at more the one point

[jhohannahbasco]

Jho Hannah Basco
11 ABM EZEKIEL

In this video lesson, I learned on how to determine the inverse of a one to one function. An inverse of function with domain B and range A given that the original function with domain A and range B. The inverse function of a function f is denoted by f^-1. It is defined by the equation f^-1 (y) = x if and only if f(x) = y. I also learned that a function must be one to one for its inverse to be a function at the same time.

[wanazle]

Joana Liezle A. Hipol
11-Proverbs

In this video lesson, I learned how to determine the inverse of one-to-one function. To determine whether it is an inverse function or not, you should first know if the function is a one-to-one function since only one-to-one function can be inversed.

[noobz]

Kian Wayne Q. Manansala
11-Ezekiel ABM
In this video lesson, I learned that every one-to-one function has an inverse

[carlocunanan]

Carlo E. Cunanan
11-Humss(Judges)
In this video, I learned to determine the inverse of one-to-one function.

[Krbby_Patty]

Mayoyo, Hannah
11 Stem Proverbs

In this video lesson, I learned the definition of inverse one-to-one function. If f(x) is a one-to-one function whose ordered pairs are of the form (x, y), then its inverse function f−1(x) is the set of ordered pairs (y, x). I also learned that a function f is one-to-one and has an inverse function if and only if no horizontal line intersects the graph of f at more than one point.

[melegritolyka]

Lyka O. Melegrito
11 HUMSS-JUDGES

In this video, I learned that all function have a inverse functions, and also learned that what ever your example in your original function, and that will be your inverse function.

[athyglossx]

Emily Joyce A. Carangan
11-ABM Ezekiel

In this video lesson, I have learned that Inverse function of function f denoted by f1 it is defined by the equation f-1 y = x if and only f(x) = y for any y in range B. Since both are functions, then a function must be one-to-one for its inverse to be a function at the same time. If it is a many-to-one function, its inverse is one-to-many which is not a function.

[gragasinjeromebulatao]

Jerome Bulatao Gragasin
11-HUMSS JUDGES

In this video lesson, I learned that in Inverse Function, if there is a given function whatever your domain in original function or X values, that will be your Y values under your Inverse Function. Its the same thing, whatever your range from the original function if you asked to take the original function then simply, whatever your Y values from this function that will be your X values for Inverse Function.

[kristelmaesumaoang]

Kristel Mae P Sumaoang
11-Corinthians
In this video lesson I learned how to determine the inverse of one to one function from its equations and the function say to be one-to-one if each x -value corresponds to exactly one y- value

[christianharold]

CHRISTIAN HAROLD A. GAGARIN
11-HUMSS JUDGES

Inverse of a Function Defined by Ordered Pairs. If f(x) is a one-to-one function whose ordered pairs are of the form (x, y), then its inverse function f−1(x) is the set of ordered pairs (y, x).

[princessmichaelabuque]

Princess Michaela Buque
11- EZEKIEL (ABM)

in this video lesson I learned the definition inverse one to one function. If f(x) is a one to one function whose ordered pairs are of the form (x, y), then its inverse function f-1(x) is the set of ordered pairs (y, x).

[ayyett]

Irish Jane B. Ylarde
11 STEM Proverbs

In this video lesson, I learned that a function can be regarded as taking an input, x, and processing it in some way to produce a single output f(x). A natural question to ask is whether we can find another function that will reverse the process. In other words, can we find a function that will start with f(x) and process it to produce x again?. If we can find such a function it is called the inverse function to f(x) and is given the symbol f^−1 (x).

Not all functions possess an inverse function. Only one-to-one functions do so. If a function is many-to-one the process to reverse it would require many outputs from one input contradicting the definition of a function.

[meruem.]

John Carlo B. Gragasin
11- Corinthians
In this video, I learned that whatever your ex in your original function is, that is your y in the inverse function, and that only one to one functions have inverse functions

[Jm-plfx]

John Michael Vicencio
11-Genesis (bread and pastry)


In this video lesson i learned about a function is said to be one-to-one if each x-value corresponds to exactly one y-value. A function f has an inverse function, f-1, if and only if f is one-to-one, A function f is one-to-one and has an inverse function if and only if no horizontal line intersects the graph of f at more than one point.

[santidope]

Godfrey Santiago
11-Proverbs

this video lesson, I learned that what ever your x in your unique function, that will be your y in your converse work. I moreover learned that you simply must decide whether the given work is one-to-one or not, since on the off chance that it isn't, you may be incapable to induce its converse work, as as it were one-to-one functions have an reverse work. In this video, I too learn that the reverse of a many-to-one work could be a one-to-many work, so it's not a work. The reverse of a one-to-one work is the same work, but within the inverse heading. It could be a work that returns a y esteem to its comparing x value.

[christinenatividad]

CHRISTINE JANETTE D.NATIVIDAD
11-EZEKIEL ABM

In this video lesson, I have learned that a function must be one-to-one for its inverse to be a function, if the inverse is one-to-many which means that it is not a function.
And also i've learned that the inverse function is denoted by f^-1.

[jomelpagrad]

Jomel pagrad
11-judges

In this video lesson i learned the easily determine the inverse of a one -to-one function and i learned in this video of the inverse Function with the domain B and the range A given that the original function has domain A and range B.

[crzyymelovie]

Lovienia Aguinaldo
11 STEM Proverbs
In these video lesson Ive learned that an inverse function of a one to one function needs to be one to one for it to have its inverse a function . If its a many to one you can have its inverse but not a function. When finding its inverse function expressing them into f(x) and interchanging value the (x)and (y) variable are involved .We can get the value of ( y) by using the (x)values.

[carlpatricksantos]

Carl Patrick Santos
11- ABM (Ezekiel)

- - In this video lesson, I learned that In your inverse function, whatever your x was in your original function will be your y. I also learnt that you must first establish if the provided function is one-to-one or not, because only one-to-one functions have an inverse function. I also learn in this video that the inverse of a many-to-one function is a one-to-many function, which means it's no longer a function. A one-to-one function's inverse is the same function in the opposite direction. It's a function that converts a y value into its x equivalent.