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Step-by-step explanation:
f(x) = 2x - 5
is a line function.
the transformations are not changing the basic structure, so, also g(x) is a line function.
the negative sign reflected/mirrored the original line across the x-axis.
x+1 as argument translates the line 1 unit to the left.
+3 at the end translates the line 3 units up.