iran-konkur 2022 Q108

iran-konkur · Other · konkur-riazi_1401_specialized 3 marks Composite & Inverse Functions Find or Apply an Inverse Function Formula
108. The function $f(x) = x^2\sqrt{x}$ is one-to-one on a domain. Which of the following is the inverse function on this domain?
(1) $-\sqrt{x^2}\ ,\ x \leq 0$ (2) $-\sqrt[3]{x}\ ,\ x \leq 0$ (3) $-\sqrt{x^2}\ ,\ x \geq 0$ (4) $-\sqrt[3]{x}\ ,\ x \geq 0$
\textbf{108.} The function $f(x) = x^2\sqrt{x}$ is one-to-one on a domain. Which of the following is the inverse function on this domain?

(1) $-\sqrt{x^2}\ ,\ x \leq 0$ \qquad (2) $-\sqrt[3]{x}\ ,\ x \leq 0$ \qquad (3) $-\sqrt{x^2}\ ,\ x \geq 0$ \qquad (4) $-\sqrt[3]{x}\ ,\ x \geq 0$