Find the inverse of the function y fx Write your solution i
Find the inverse of the function y = f(x).
Write your solution in inverse function notation, f1(y).
y = 0.5x 17
f1(y) =__________
and
y = 5x-14
f 1(y) =__________
Solution
y = 0.5x -17
To find inverse plug y =x ; x=y and solve for y:
x = 0.5y -17
x+17 = 0.5y
divide both side by 0.5:
(x+17)/0.5 = y
y = 2(x+17)
f^-1(x) = 2x+ 34
y = 5x -14
x = 5y -14
5y = x+14
y = 0.2x + 2.8
f^-1(x) = 0.2x +2.8
