Question

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Given the function f(x)=x^4 - 3x^2 + x^6 find f(-x) and -f(x)

Answer 1

Answer: f(-x) = x^4 -3x^2 +x^6

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

Explanation:

at f(-x), place a negative sign inside the function of x itself:

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

because the powers are even, they cancel out.