MathematicsMedium210×since 2002Q3473Let f,g:(0,∞)→Rf, g:(0, \infty) \rightarrow \mathbb{R}f,g:(0,∞)→R be two functions defined by f(x)=∫−xx(∣t∣−t2)e−t2dtf(x)=\int\limits_{-x}^x\left(|t|-t^2\right) e^{-t^2} d tf(x)=−x∫x(∣t∣−t2)e−t2dt and g(x)=∫0x2t1/2e−tdtg(x)=\int\limits_0^{x^2} t^{1 / 2} e^{-t} d tg(x)=0∫x2t1/2e−tdt. Then, the value of 9(f(loge9)+g(loge9))9\left(f\left(\sqrt{\log _e 9}\right)+g\left(\sqrt{\log _e 9}\right)\right)9(f(loge9)+g(loge9)) is equal to :A10B9C8D6Check answerSkip