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Section 1.4
Questions
52, 54, 56
See attachment.
52. Set denominator = 0 and solve for x
x^2 - 4x
x(x - 4) = 0
x = 0
x - 4 = 0
x = 4
Domain = All real numbers except x cannot be 0 and 4.
54. Set denominator to 0 and solve for x.
6 + x = 0
x = -6
Set radicand to be => 0.
x + 6 => 0
x => -6
Domain = All real numbers except that x > -6.
56. Set denominator to be => 0.
x - 10 => 0
x => 10
Set numerator = 0 and solve for x.
x + 2 = 0
x = - 2
Domain = All real numbers except x cannot be -2 and 10.
Questions
52, 54, 56
See attachment.
52. Set denominator = 0 and solve for x
x^2 - 4x
x(x - 4) = 0
x = 0
x - 4 = 0
x = 4
Domain = All real numbers except x cannot be 0 and 4.
54. Set denominator to 0 and solve for x.
6 + x = 0
x = -6
Set radicand to be => 0.
x + 6 => 0
x => -6
Domain = All real numbers except that x > -6.
56. Set denominator to be => 0.
x - 10 => 0
x => 10
Set numerator = 0 and solve for x.
x + 2 = 0
x = - 2
Domain = All real numbers except x cannot be -2 and 10.