Question

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

Answer 1

$f(x)=2x+1\to y=2x+1\\\\\text{We solve for x}\\\\2x+1=y\ \ \ |-1\\\\2x=y-1\ \ \ |:2\\\\x=\dfrac{y-1}{2}\to x=\dfrac{1}{2}y-\dfrac{1}{2}$
$\text{Answer:}\ f^{-1}(x)=\dfrac{1}{2}x-\dfrac{1}{2}$