Determine the vertical asymptote for the rational function f of x equals quantity x minus 4 end quantity divided by quantity 2 times x minus 3 end quantity.

Step-by-step explanation:

The vertical asymptote exists where the denominator of that function equals 0.  To find where it equals 0, set the denominator equal to 0 and solve for x:

2x - 3 = 0 and

2x = 3 so

x = 3/2

The vertical asymptote is at x = 3/2 or 1.5

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

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