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What is the domain of the function defined by h(x) = 1x + 4x  2 ?BB ffA. f( ∞, 0) U (0, 2 ) U (2 , ∞) B. f( ∞, 0) U (2 , ∞) C. f( ∞, ∞) D. f( ∞, 0] U [0, 2 ] U [2 , ∞)
f
A
Step 1: h(x) = 1x + 4x  2 = 5x  2x(x  2)
Step 2: x ≠ 0 and x ≠ 2.[The denominator of a fraction must not be zero.]
Step 3: The domain is (∞, 0) U (0, 2) U (2, ∞).

