The graph of the following function is shown to the right. Find the coordinates of the minimum point. \[ f(x)=-3 x+e^{x} \] The $x$-coordinate is $\square$. (Type an exact answer.) The $y$-coordinate is $\square$. (Type an exact answer.)

Step 1 ：The function given is \(f(x) = -3x + e^{x}\).

Step 2 ：To find the minimum point of the function, we first need to find the derivative of the function.

Step 3 ：The derivative of the function \(f(x)\) is \(f'(x) = e^{x} - 3\).

Step 4 ：We set the derivative equal to zero and solve for \(x\) to find the \(x\)-coordinate of the minimum point.

Step 5 ：Solving \(e^{x} - 3 = 0\) gives \(x = \log(3)\).

Step 6 ：We substitute \(x = \log(3)\) back into the original function to find the corresponding \(y\)-coordinate.

Step 7 ：Substituting \(x = \log(3)\) into \(f(x) = -3x + e^{x}\) gives \(y = 3 - 3\log(3)\).

Step 8 ：Thus, the coordinates of the minimum point are \(\boxed{\log(3)}\) and \(\boxed{3 - 3\log(3)}\).