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    Thanks for the valuable suggestions. For some reason, both options resulted in the primes being set at unequal (but much closer!) heights. However, I get a satisfactory result with f(\mbox{$x'$}, \overline{\mbox{$x'$}}). Commented 11 hours ago
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    In \[ f(x',\nsoverline{x'}) \], the first instance of x' is processed in display-style math mode, whereas the second is processed in text-style math mode. This affects the heights of the prime symbols. Commented 7 hours ago