Find the inverse of the function and simplify. Is the inverse a function?
f(x)=2x-9
To find the inverse of the function, we can swap the roles of x and y and solve for y.
Let y = 2x - 9.
To solve for x, we can rearrange the equation: x = (y + 9)/2.
Switching the variables, we have y = (x + 9)/2.
The inverse of the function is y = (x + 9)/2.
Since we were able to find an equation that expresses y in terms of x, the inverse is a function.