Adding two functions results in h of x is equal to 4 x , while multiplying the same functions results in j times x is equal to negative 5 x squared minus 12 x minus 4 Which statements describe f of x and g of x , the original functions? Choose two correct answers.

The functions have sum 4x and product −5x² − 12x − 4. Factoring the product as (5x + 2)(−x − 2) gives factors whose sum is 4x, so the original functions are 5x + 2 and −x − 2, in either order. Both are linear, so each has a constant rate of change, and their y-intercepts, 2 and −2, are opposites. Their rates of change are 5 and −1, which are not opposites.

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