Respuesta :
If we consider the function y=2x+1 then the inverse of the function comes to be y=(x−1)/2.
What is an Inverse Function ?
Each element in the range of an original function f is mapped to its corresponding element in the domain by the inverse function f ⁻¹.
Finding inverse of a function
It is typical to consider the x values as the domain and the y values as the range when considering an equation. The domain and range of f are reversed by the inverse function, f ⁻¹, as was previously mentioned. Flip the x and the y, then solve for y to determine the inverse of a written function.
Find the inverse.
y=2x+1
1. Switch the x and y.
x=2y+1
2. Then solve the equation for the y value.
x−1=2y
y=(x−1)/2
The graph of the inverse function is the mirror image to y=x axis
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