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04-03-2019
Mathematics

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If f(x) = 2x + 5 what is f -1(x) ?

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wegnerkolmp2741o wegnerkolmp2741o

04-03-2019

Answer:

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

Step-by-step explanation:

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

y = 2x+5

Exchange x and y

x = 2y+5

Solve for y

Subtract 5 from each

x-5 = 2y+5-5

x-5 = 2y

Divide by 2

(x-5)/2 = 2y/2

1/2x - 5/2 = y

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

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