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The expressions 30x² -105x-60 and (5x-20)(6x+3) define the same function, f.

1. Which expression makes it easier to find f(0) ? Explain your reasoning.

User Wally Ali
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1 Answer

5 votes

Final answer:

To find f(0), you can substitute x=0 into the given expressions. Both expressions 30x² - 105x - 60 and (5x-20)(6x+3) define the same function f. However, (5x-20)(6x+3) may be slightly easier to evaluate.

Step-by-step explanation:

To find f(0), we need to substitute x=0 into the expression. Let's evaluate each expression to determine which one is easier.

Evaluating 30x² - 105x - 60:

Substituting x=0 into the expression:

30(0)² - 105(0) - 60 = -60

Evaluating (5x-20)(6x+3):

Substituting x=0 into the expression:

(5(0)-20)(6(0)+3) = (-20)(3) = -60

The expressions 30x² - 105x - 60 and (5x-20)(6x+3) yield the same value when x=0. Therefore, both expressions define the same function f. However, the expression (5x-20)(6x+3) may be slightly easier to evaluate since it involves simpler arithmetic with smaller coefficients and fewer terms.

User Nick Petrie
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