What is the inverse function of $y=2x-1$ ?

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Answer 1 · 2015-06-10T21:34:03

The inverse function is $y = (x+1)/2$

Firstly, switch the x and the y:

$y = 2x-1 => x = 2y-1$

Now, solve for y:

$x = 2y -1$

Add 1 to both sides:

$x+1 = 2y cancel(-1) cancel(+1)$

$x+1 = 2y$

And divide by 2:

$(x+1)/2 = cancel(2)y/cancel(2)$

$(x+1)/2 = y$

What is the inverse function of y=2x-1y=2x-1?