Answer: Choice C) 4
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Work Shown:
Set the denominator equal to zero and solve for x
4x-16 = 0
4x-16+16 = 0+16 ... add 16 to both sides
4x = 16
4x/4 = 16/4 ... divide both sides by 4
x = 4
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If x = 4, then the denominator is 0
4x-16 = 4(4)-16 = 16-16 = 0
So this x value is what we exclude from the domain to avoid a division by zero error.
