Question

Which function is the inverse of
F(x) = 2x + 3

Answer 1

`\large\boxed{f^(-1)(x)=y=(x)/(2)-(3)/(2)\to f^(-1)(x)=(1)/(2)x-(3)/(2)}`

Explanation:

`f(x)=2x+3\to y=2x+3\\\\\text{exchange x to y and vice versa:}\\\\x=2y+3\\\\\text{solve for}\ y:\\\\2y+3=x\qquad\text{subtract 3 from both sides}\\\\2y=x-3\qquad\text{divide both sides by 2}\\\\y=(x)/(2)-(3)/(2)`