Question

Which function is the inverse of f(x) = 2x + 323ƒ^²^²(x) = -1/1/2ƒ^²(x) = 1/2 x - 1²/20Of¹(x) = -2x + 3Of(x)=2x+3

Answer 1

Given: A function F(x)=2x+3 is given.

Find: inverse of a function.

Explanation:

$\begin{gathered} f(x)=2x+3 \\ y=2x+3 \\ x=2y+3 \\ y=\frac{x-3}{2} \\ f^{-1}(x)=\frac{x}{2}-\frac{3}{2} \end{gathered}$

Final answer: the required inverse of f(x) is

$\frac{x}{2}-\frac{3}{2}$