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To get g(x+2) we start out with this:
g(x) = 8x-2
We put parentheses around the x on the right side:
g(x) = 8(x)-2
We take out both x's
g( ) = 8( )-2
We open the empty parentheses a little wider
g( ) = 8( )-2
We put x+2 in the parentheses:
g(x+2) = 8(x+2)-2
We leave the left side as it is, but
we simplify the right side:
g(x+2) = 8x+16-2
g(x+2) = 8x+14
Edwin