A function \(f : \mathrm{R} \rightarrow \mathrm{R}\) is given by \(f(x) = x^3 + 3\). If \(f(x) = -24\), then the value of \(x\) is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → −3
Setting f(x) = −24:
\(x^3 + 3 = -24\)
\(x^3 = -27\)
\(x = -3\)
A real number has only one real cube root, so x = −3 is the only value.