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

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) =________

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