If and , for all x, then what is the value of at ?
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Took me a second to see that the + is INSIDE the outer f, not between two separate f's. Once I slowed down it was fine, but 20 min into a section I'd probably rush that.
same, the bracket placement is sneaky
yeah this is one where reading carefully > being fast
Quick question — for g(f(x)) do I plug f(x) into g first and then add, or add before applying? Order of operations inside the big f is where I keep slipping.
you evaluate each piece separately then sum, then feed that into the outer f. just go inside-out
got 40, felt like a solid medium. not a trap if you track each layer, but the nested f(f(...)) makes it look scarier than it is.
totally, the notation is the only hard part here
Respect for the 700-level framing but this one is mostly careful bookkeeping. Did it in about 90 seconds once I tabulated g(x) and f(x) at x=1 before nesting.
yep, tabulating first is the move on function stacking
What it tests
Your ability to evaluate and compose functions, including unusual defined operations.
Common trap
Applying function operations in the wrong order or ignoring domain restrictions.