Question

What is the inverse of the function

\[f(x)=-\dfrac{1}{2}(x+3)\]?

Answer 1

Let y = f(x) = -1/2 (x + 3). Solve for x:
-2y = x + 3 → x = -2y - 3.
Swap x and y to get the inverse function:
f⁻¹(x) = -2x - 3.