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17-01-2019
Mathematics

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Find the Inverse function f^-1(x) for the given function f(x)=2/5x-2

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wegnerkolmp2741o wegnerkolmp2741o

17-01-2019

Answer:

f^-1(x) = 5/2 x + 5

Step-by-step explanation:

To find the inverse function, exchange x and y and solve for y

y = 2/5 x -2

Exchange x and y

x = 2/5 y -2

Solve for y

Add 2 to each side

x+2 =2/5y-2+2

x+2 = 2/5 y

Multiply by 5/2 to isolate y

5/2(x+2) = 2/5 y * 5/2

5/2 (x+2) = y

5/2 x + 5 =y

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