Question

PLEASE HELP *13 POINTS*! A) -4 B) -0.25 C) 4 D) 0.25

Answer 1

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.