04:01 Inverse function cancels the effect of the original function. 08:02 Finding the inverse function of any f(x) and understanding the relationship between domain and range. 12:03 Finding the inverse function helps determine the range of the original function. 16:04 The graphical relation between a function and its inverse is the reflection about the line y equals x. 20:05 Inverse functions are not available for all functions, only for one-to-one functions. 24:06 Inverse functions are obtained by restricting the domain to obtain a one-to-one function. 28:07 The inverse function only takes the positive square root to maintain its status as a function. 32:05 The inverse function is valid only for the restricted domain of f.
Inverse function cancels the effect of the original function. 04:01 The inverse function is the function that returns the original input for any output of the original function. For example, the cubic root of x is the inverse function of x cubed. ✦ Finding the inverse function of any f(x) and understanding the relationship between domain and range. 08:02 Understanding the concept of inverse functions and their importance. Solving for y to find the inverse of the given function. Noting the relationship between the domain and range of a function and its inverse. ✦ Finding the inverse function helps determine the range of the original function. 12:03 Drawing the function is not always easy. The systematic method of finding the inverse function guarantees an easy way to determine the range. ✦ The graphical relation between a function and its inverse is the reflection about the line y equals x. 16:04 The sketch of f inverse of x can be obtained by exchanging the x and y values of the sketch of f of x. The relation between f of x and f inverse of x graphically is the reflection about the line y equals x. ✦ Inverse functions are not available for all functions, only for one-to-one functions. 20:05 Inverse functions allow us to reverse the input and output of a function. Not all functions have inverse functions, only one-to-one functions. ✦ Inverse functions are obtained by restricting the domain to obtain a one-to-one function. 24:06 Restricting the domain of a function is done to obtain its inverse. The positive part of the domain is usually considered for the inverse function. ✦ The inverse function only takes the positive square root to maintain its status as a function. 28:07 The inverse function is obtained by swapping the x and y variables. In order to get the range of the inverse function, we find the domain of the original function. ✦ The inverse function is valid only for the restricted domain of f. 32:05 The inverse function is only valid for x values that belong to the domain of f inverse. The square root of x squared is equal to x only when x is greater than or equal to zero.
حضرتك بتشرحى شرح جميل لدرجة انى ولا بذاكر ولا بحضر محاضرات المادة فى الكلية اصلا بكتفى بشرح حضرتك بس والملاحظات بجد شرح حضرتك احسن حتى من شرح مدرسين الثانوى الخصوصيين(:
04:01 Inverse function cancels the effect of the original function.
08:02 Finding the inverse function of any f(x) and understanding the relationship between domain and range.
12:03 Finding the inverse function helps determine the range of the original function.
16:04 The graphical relation between a function and its inverse is the reflection about the line y equals x.
20:05 Inverse functions are not available for all functions, only for one-to-one functions.
24:06 Inverse functions are obtained by restricting the domain to obtain a one-to-one function.
28:07 The inverse function only takes the positive square root to maintain its status as a function.
32:05 The inverse function is valid only for the restricted domain of f.
Inverse function cancels the effect of the original function.
04:01
The inverse function is the function that returns the original input for any output of the original function.
For example, the cubic root of x is the inverse function of x cubed.
✦
Finding the inverse function of any f(x) and understanding the relationship between domain and range.
08:02
Understanding the concept of inverse functions and their importance.
Solving for y to find the inverse of the given function.
Noting the relationship between the domain and range of a function and its inverse.
✦
Finding the inverse function helps determine the range of the original function.
12:03
Drawing the function is not always easy.
The systematic method of finding the inverse function guarantees an easy way to determine the range.
✦
The graphical relation between a function and its inverse is the reflection about the line y equals x.
16:04
The sketch of f inverse of x can be obtained by exchanging the x and y values of the sketch of f of x.
The relation between f of x and f inverse of x graphically is the reflection about the line y equals x.
✦
Inverse functions are not available for all functions, only for one-to-one functions.
20:05
Inverse functions allow us to reverse the input and output of a function.
Not all functions have inverse functions, only one-to-one functions.
✦
Inverse functions are obtained by restricting the domain to obtain a one-to-one function.
24:06
Restricting the domain of a function is done to obtain its inverse.
The positive part of the domain is usually considered for the inverse function.
✦
The inverse function only takes the positive square root to maintain its status as a function.
28:07
The inverse function is obtained by swapping the x and y variables.
In order to get the range of the inverse function, we find the domain of the original function.
✦
The inverse function is valid only for the restricted domain of f.
32:05
The inverse function is only valid for x values that belong to the domain of f inverse.
The square root of x squared is equal to x only when x is greater than or equal to zero.
حضرتك بتشرحى شرح جميل لدرجة انى ولا بذاكر ولا بحضر محاضرات المادة فى الكلية اصلا بكتفى بشرح حضرتك بس والملاحظات
بجد شرح حضرتك احسن حتى من شرح مدرسين الثانوى الخصوصيين(:
مدرسين ثانوى إيه بس 😂😂😂🤦🏻♂️
أنت بتقول ايه يبني أسال أي حد في هندسة اسكندرية وأنت تعرف مين دكتور ميرفت
شكرا ليكى يا دكتورة ❤❤
شكرا يا دكتور... شرح حضرتك تحفة ❤
عظمة ، الف شكر يا دكتور🥺❤️❤️
شكرا جدا يا دكتور
Thx so much plz solve elmo3ase questions😢💜
❤️❤️❤️
يا دكتور عد اذنك هو Exponential and logarithmic functions جي جي في الامتحان و له لا
Yes