Consider $f (x) = x^{3} + a x^{2} + b x + c$ Parameters $a, b, c$ are chosen as the face value of a fair dice by throwing it three times Then the probability that $f (x)$ is an invertible function is (A) $\frac{5}{36}$ (B) $\frac{8}{36}$ (C) $\frac{4}{9}$ (D) $\frac{1}{3}$

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Emily Discussed

Consider

f (x) = x^{3} + a x^{2} + b x + c

Parameters

a, b, c

are chosen as the face value of a fair dice by throwing it three times Then the probability that

f (x)

is an invertible function is (A)

\frac{5}{36}

(B)

\frac{8}{36}

(C)

\frac{4}{9}

(D)

\frac{1}{3}

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Question Text

Consider

f (x) = x^{3} + a x^{2} + b x + c

Parameters

a, b, c

are chosen as the face value of a fair dice by throwing it three times Then the probability that

f (x)

is an invertible function is (A)

\frac{5}{36}

(B)

\frac{8}{36}

(C)

\frac{4}{9}

(D)

\frac{1}{3}

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