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Problem Let g ( x ) = 1 x g(x)=\dfrac{1}{x} g ( x ) = x 1 for x ∈ [ − 4 , − 1 ] ∪ [ 2 , 5 ] x\in[-4,-1]\cup[2,5] x ∈ [ − 4 , − 1 ] ∪ [ 2 , 5 ] . Identify the correct range of g g g .
a) [ − 1 , − 1 5 ] ∪ [ 1 4 , 1 2 ] [-1,-\tfrac{1}{5}]\cup[\tfrac{1}{4},\tfrac{1}{2}] [ − 1 , − 5 1 ] ∪ [ 4 1 , 2 1 ]
b) [ − 1 , − 1 4 ] ∪ [ 1 5 , 1 2 ] [-1,-\tfrac{1}{4}]\cup[\tfrac{1}{5},\tfrac{1}{2}] [ − 1 , − 4 1 ] ∪ [ 5 1 , 2 1 ]
c) [ − 1 4 , − 1 ] ∪ [ 1 5 , 1 2 ] [-\tfrac{1}{4},-1]\cup[\tfrac{1}{5},\tfrac{1}{2}] [ − 4 1 , − 1 ] ∪ [ 5 1 , 2 1 ]
d) ( − ∞ , − 1 4 ] ∪ [ 1 5 , ∞ ) (-\infty,-\tfrac{1}{4}]\cup[\tfrac{1}{5},\infty) ( − ∞ , − 4 1 ] ∪ [ 5 1 , ∞ )
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