Difference between inverse function and composite function
Answers
In inverse algebraic function,the dependent variable(y) and independent variable(x) are inversed or switched and solved for dependent variable or y.
Composite function involves the method of integrating two separate functions,such that,the outcome/result of one function is equal to the input of the other.
In Mathematics,inverse function represents a way to solve for dependent variable(y) as a function of dependent variable(x).Therefore,in the equation or function,the x and y are reversed and then solved for y to find the value of y.Hence,result or outcome of the inverse function is the value of y as a function of x.For example, is a function given.Now,to convert this function as inverse function,we can rewrite the function as and then solve for y.
On the other hand,composite function signifies a method of integrating two separate functions in a such a way that the result or outcome of the one becomes equal to the input of the other.Therefore,composite function includes two separate equations involving x and y and a specific value of x is given to solve for y.Now,once the value of y by plugging in the value of x in the first equation,the final value of y is then plugged into the second equation as an input to solve for the second equation.The final value obtained from the second equation represents the final value of the composite function.