A Piecewise Sum Minimum

★ 6/10functions Extrema calculus Logarithms Casework

Problem

Let

f(x) = \begin{cases} 2 + 3\ln x, & x \geqslant 1, \\ x + 1, & x < 1. \end{cases}

If $m \neq n$ and $f(m) + f(n) = 4$ , find the minimum value of $m + n$ .

Answer

Solution

Difficulty	6/10
Topics	functions, Extrema, calculus, Logarithms, Casework

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.