Question

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

Answer 1

`\large\boxed{f^(-1)(x)=(1)/(2)x-(1)/(2)}`

Explanation:

`f(x)=2x+1\to y=2x+1\\\\\text{exchange x to y and vice versa:}\\\\x=2y+1\\\\\text{solve for y:}\\\\2y+1=x\qquad\text{subtract 1 from both sides}\\\\2y=x-1\qquad\text{divide both sides by 2}\\\\y=(x-1)/(2)=(1)/(2)x-(1)/(2)`