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F(x) = 10x - 3, Find f-1 (17)(Finding inverse functions given an input)

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f(x) = 10x - 3

1. Replace f(x) with y

y = 10x - 3

2. Replace every x with y and replace every y with x:

x = 10y - 3

3. Solve for y:

add 3 to both sides:

x + 3 = 10y -3 + 3

x + 3 = 10y

Divide both sides by 10:

(x + 3)/10 = 10y/10

y = (x + 3)/10

4. Replace y with f−1(x)

f-1(x) = (x + 3)/10

f-1(17) = (17+3)/10 = 20/10 = 2

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