A function g of x has x -intercepts at 1 half comma 0 and 6 comma 0 Which could be g of x ?

An x-intercept occurs where g(x) = 0. The factor (x − 6) gives a zero at x = 6, and the factor (2x − 1) gives a zero when 2x − 1 = 0, or x = 1/2. Thus choice A, (x − 6)(2x − 1), has both required x-intercepts.

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