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18 November, 18:24

Use f (x) and g (x) to find a formula for each expression. Identify its domain.

f (x) = |2x-1|

g (x) = |2x+1|

(a) (f+g) (x)

(b) (f-g) (x)

(c) (fg) (x)

(d) (f/g) (x)

+1
Answers (1)
  1. 18 November, 18:46
    0
    F (x) = |2x - 1|

    g (x) = |2x + 1|

    A. (f + g) (x) = |2x - 1| + |2x + 1|

    Domain: (-∞, ∞) x ∈ R

    B. (f - g) (x) = |2x - 1| - |2x + 1|

    Domain: Unknown

    C. (f · g) (x) = |2x - 1||2x + 1|

    Domain: Unknown

    D. (f : g) (x) = |2x - 1| : |2x + 1|

    Domain: (-∞, ⁻¹/₂) U (⁻¹/₂, ∞) x
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