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3 years ago

Inverse fraction of f(x)=2x+1

Mathematics

1 answer:

Akimi4 [234]3 years ago

6 0

Answer:

$f^{-1}$ (x) = $\frac{x-1}{2}$

Step-by-step explanation:

let f(x) = y, then y = 2x + 1

rearrange, making x the subject

subtract 1 from both sides

y - 1 = 2x ( divide both sides by 2 )

x = $\frac{y-1}{2}$

change y back into terms of x

$f^{-1}$ (x) = $\frac{x-1}{2}$

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