Pre Cal/ domain

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Domain of
a) x^20
b) 1/(x-3)
c)1/(4x^2-21x-18)
d) sqrt(4x^2-21x-18)
e) 1/ sqrt(4x^2-21x-18)

  • Pre Cal/ domain -

    Domain

    a. x^20. All real values of x.

    b. 1/(x-3).
    3 is not in the domain, because it gives a denominator of 0. So the domain is all real values of x except 3:
    3 > x >3.

    c. 1 / (4x^2-21x-18) =
    1 / (x-6)(4x+3) .
    Domain: All real values of x except 6:
    6 > x > 6.

    d. sqrt(4x^2-21x-18) =
    sqrt((x-6)(4x+3)).

    Domain: All real values of x that are
    => 6. Values below 6 will result in a
    negative value under the radical.

    Domain: X => 6.

    e. 1 / sqrt(4x^2-21x-18) =
    1 / sqrt((x-6)(4x+3)).
    6 is not in the domain,because it gives a denominator of 0. Values below 6 results in a negative value under the radical. Therefore, all values greater than 6 are in the domain:

    Domain: X > 6.

  • Pre Cal/ domain -

    1. sqrt x^2-5x-14
    2. cube root x-6/sqrt x^2-x-30
    3. y= ln2x-12

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