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Determine whether the following functions are even odd or neither a. f(x)=x^2/)x-2)^3 b. f(x)= x^2/x^2+1?
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- BrainardLv 75 years ago
a. f(x)=x^2/)x-2)^3
f(- x) = (-x)^2/[ - x - 2]^3
= x^2/[ - (x + 2)]^3
= - x^2/(x + 2)^3 ..............neither
b. f(x)= x^2/x^2+1
f(-x) = (-x)^2/[ (-x)^2 + 1)]
= x^2/(x^2 + 1)
= f(x) ..........................even
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