- #1
Craig is Lege
- 8
- 0
Homework Statement
f(x)= x^2 + 2x -1
Homework Equations
The Attempt at a Solution
x + 1 = y ( y + 2 )
how do i get y alone
The inverse of a function is a new function that swaps the input and output values of the original function. In other words, if the original function maps x to y, the inverse function maps y to x.
To find the inverse of a function algebraically, you can follow the steps of:
Yes, you can also find the inverse of a function graphically by reflecting the points of the original function over the line y=x. The resulting graph will be the inverse function.
Yes, the inverse of a function is also a function as long as the original function passes the horizontal line test, meaning that no horizontal line intersects the graph of the function more than once.
The domain and range of the inverse function will be the range and domain of the original function, respectively. In this case, the domain of the inverse function will be all real numbers (since the range of the original function is all real numbers), and the range of the inverse function will be all real numbers greater than or equal to -1/4 (since the domain of the original function is all real numbers greater than or equal to -1/4).