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Question 7

f(x) = x5 - 6x4 + 2x³ + x²-3x + 9, find f(-x)
f(-x) = -x5 + 6x4 - 2x³ - x² + 3x +9
f(-x) = -x5-6x4 - 2x³ + x² + 3x +9
f(-x) = -x5 + 6x4 - 2x³ - x² + 3x - 9
f(x) = x5 + 6x + 2x³ - x²-3x+9

1 Answer

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Answer:

f(-x) = -x^5 + 6x^4 - 2x^3 - x^2 + 3x - 9

Explanation:

f(-x) is simply f(x) evaluated at -x instead of x. When you replace x with -x in the original function, you get a new function, f(-x), which takes -x as input and outputs the result. In this case, f(-x) = -x^5 + 6x^4 - 2x^3 - x^2 + 3x - 9.

Hope this helps!

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