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24-09-2018
Mathematics

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if f(x)=2x/7+4, which of the following is the inverse of f(x)?

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24-09-2018

f(x) = 2x/(7 + 4)

Replace f(x) with y

y = 2x/(7 + 4)

Switch x and y

x = 2y/(7 + 4)

Solve for y

Simplify first

x = 2y/11

* 11

11x = 2y

/2

5.5x = y

Turn y into f^-1(x)

f^-1(x) = 5.5x

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