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NEED DESPERATE HELP!
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

Respuesta :

konrad509
[tex]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}[/tex]

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
[tex] \frac{x - 1}{2} = y[/tex]

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

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