​If f(x) = sinx, g(x) = 3x and h(x) = x + 4, then what is ho(gof)?​

Correct option is D

​$$\begin{aligned}&\text{We are given three functions:} \\[5pt]&\bullet\ f(x) = \sin x \\&\bullet\ g(x) = 3x \\&\bullet\ h(x) = x + 4 \\[10pt]&\text{We are to find:} \\&h \circ (g \circ f) = h(g(f(x))) \\[15pt]&\textbf{Step-by-step evaluation:} \\[5pt]&1.\ \text{Start with } f(x) = \sin x \\[5pt]&2.\ \text{Apply } g \text{ to } f(x): \\&\quad g(f(x)) = g(\sin x) = 3\sin x \\[10pt]&3.\ \text{Apply } h \text{ to } g(f(x)): \\&\quad h(g(f(x))) = h(3\sin x) = 3\sin x + 4\end{aligned}$$​​