Question

What is the inverse of the function f(x)=2x-10

Answer 1

By definition, an inverse function produces points (y,x) for every point (x,y) of the parent function.  So what really occurs in simplest terms is the swapping of all x and y coordinates.  I only say all of this so that finding the inverse function is more intuitive. :)

To find an inverse function, you must solve for the independent variable, x, then when done, switch the variable labels...

y=2x-10  solve for x, add 10 to both sides

y+10=2x  divide both sides by 2

(y+10)/2=x  now swap or reverse variable labels.

y=(x+10)/2 so

f^-1(x)=(x+10)/2