consider beginarrayl fxleftbeginarrayll 3 x text rational 1 x text irr

Question

Consider \begin{array}{l}
f(x)=\left\{\begin{array}{ll}
3 & x \text { rational } \\
1 & x \text { irrational }
\end{array}, g(x)=\frac{2 x-1}{2 x-1}, h(x)=\cos (x)+e^{x},\right. \text { and } \\
j(x)=\left\{\begin{array}{ll}
x^{2} & x>0 \\
x+1 & x \leq 0
\end{array}\right.
\end{array} Which of these functions are integrable on [-2, 2]? All are integrable [-2, 2]. None of these functions are integrable [-2, 2]. All are integrable [-2, 2] except for f(x). Only h(x) is integrable [-2, 2]. Only g(x) and h(x) are integrable [-2, 2].