JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Composite Function & Inverse of a Function - Exercise 1.3
Composite Function & Inverse of a Function - Exercise 1.3 Video Lecture | Mathematics (Maths) Class 12 - JEE
FAQs on Composite Function & Inverse of a Function - Exercise 1.3 Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is a composite function? |  |
Ans. A composite function is a function that combines two or more functions to create a new function. It is formed by taking the output of one function and using it as the input for another function.
| 2. How do you find the composite of two functions? | |
Ans. To find the composite of two functions, let's say f and g, you first evaluate g(x) and then use the resulting value as the input for f(x). In other words, you substitute g(x) into f(x) and simplify the expression.
| 3. What is the purpose of finding the inverse of a function? | |
Ans. Finding the inverse of a function allows us to reverse the input and output values of the original function. It helps us understand the relationship between the independent and dependent variables and can be useful in solving equations or finding the original input given a certain output.
| 4. How do you determine if a function has an inverse? | |
Ans. To determine if a function has an inverse, you can use the horizontal line test. If no horizontal line intersects the graph of the function more than once, then the function has an inverse. Additionally, if the function passes the vertical line test, meaning that it is a one-to-one function, it will have an inverse.
| 5. How do you find the inverse of a function? | |
Ans. To find the inverse of a function, you swap the input and output variables and solve for the new output variable. This can be done by interchanging the x and y variables and solving the resulting equation for y. The resulting equation represents the inverse function.
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