The value of x when q (x) = -4 as given in the task content and required to be evaluated is; -6.
It follows from the task content that the premise function given is; q ( x ) = 1/3x - 2 and hence,the value of x for which the function instance q (x) = -4 is to be determined.
Since the given function is;
q ( x ) = 1/3x - 2
It follows that when q (x) = -4; the value of x can be determined as follows;
-4 = 1/3x - 2
-4 + 2 = ( 1/ 3) x
-2 = ( 1 / 3 ) x
Hence, by cross-multiplication; we have the value of x to be;
x = -2 × 3
x = -6.
Therefore, the required value of x for which the function, q (x) = -4 is; -6.
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