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Answer :
Final answer:
In the function f(x) = 5x^3 + 27x^2 - 13x + 30, for the value x = -6, none of the options available provide the correct answer according to our calculations. The student should verify the question or the choices provided.
Explanation:
The question is asking to find the value of the function f(x) = 5x^3 + 27x^2 - 13x + 30 at x = -6. We first substitute -6 into the function:
f(-6) = 5*(-6)^3 + 27*(-6)^2 - 13*(-6) + 30.
By simplifying the expression we have f(-6) = 5*(-216) + 27*36 + 78 + 30.
So, f(-6) = -1080 + 972 + 78 + 30
Therefore, f(-6) = 0.
None of the options provided in the question (A) f(-6) = 810 B) f(-6) = 210 C) f(-6) = -210 D) f(-6) = -810) match the solution we calculated. Therefore, there may be a typo in the question, or one of the options provided is incorrect.
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