Answer:
[tex]y=\frac{x+11}{2}[/tex]
Step-by-step explanation:
To find the inverse of a function, take your equation and switch the "x" and "y" variables. Then, isolate "y".
Take your equation
y = 2x - 11
Switch "x" and "y" variabales
x = 2y - 11
Isolate "y", meaning to move it to the left, and everything else to the right. When moving a number, do its reverse operation to both sides of the equation.
x = 2y - 11 Move "-11" first. It's reverse is +11
x + 11 = 2y - 11 + 11 Do the reverse to both sides
x + 11 = 2y The reverses cancel out
In "2y", 2 is multiplying with y. The reverse of multiplying is dividing.
[tex]\frac{x+11}{2}=\frac{2y}{2}[/tex] Divide both sides by 2
[tex]\frac{x+11}{2}=y[/tex] Move "y" to the left for standard formatting
[tex]y=\frac{x+11}{2}[/tex] Inverse of y = 2x - 11
