QuestionEvaluate the functions: 1. $(h \circ g)(x)$ and 2. $2 \cdot [f \circ (g \circ g)](x)$, where $g(x)=3x-2$, $f(x)=\sqrt{-x}$, $h(x)=\frac{3}{x+4}$.

Studdy Solution
Finally, evaluate $2 \cdot[f \circ(g \circ g)(x)]$ by multiplying the result of $f \circ(g \circ g)(x)$ by2.
$$2 \cdot[f \circ(g \circ g)(x)] =2 \cdot \sqrt{-9x +8}$$So, the solutions are. $\cdot(h \circ g)(x) = \frac{3}{3x +2}$
2. $2 \cdot[f \circ(g \circ g)(x)] =2 \cdot \sqrt{-9x +8}$