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What is the inverse of the function f(x) = 2x + 1?


h(x) = x –

h(x) = x +

h(x) = x – 2

h(x) = x + 2

Verified Answer :

konrad509

\(f(x)=2x+1\\\\ y=2x+1\\ 2x=y-1\\ x=\dfrac{1}{2}y-\dfrac{1}{2}\\\\ f^{-1}(x)=\dfrac{1}{2}x-\dfrac{1}{2}\)

None of the answers.

JoshEast

If f(x) = 2x + 1

let y = 2x + 1

so an easy way to find the inverse is to switch your x and y then make y the subject of the equation so lets do that

let x = 2y + 1
 
by transposition
 x -1 = 2y
\(\frac{x - 1}{2} = y\)

∴ if h(x) is the inverse of f(x) then 
    h(x) = \(y = \frac{x - 1}{2}\)

not that that is the same as y = 0.5x - 0.5

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