Solve the problem.
-Given $f ( x ) = \left| - 5 x ^ { 3 } + 8 \right|$, define $m , n , h$, and $k$ such that $f ( x ) = ( m \circ n \circ h \circ k ) ( x )$.
A) $m ( x ) = | x | , n ( x ) = x + 8 , h ( x ) = - 5 x , k ( x ) = x ^ { 3 }$
B) $m ( x ) = | x | , n ( x ) = x + 8 , h ( x ) = x ^ { 3 } , k ( x ) = - 5 x$
C) $m ( x ) = x ^ { 3 } , n ( x ) = - 5 x , h ( x ) = x + 8 , k ( x ) = | x |$
D) $m ( x ) = x ^ { 3 } , n ( x ) = x + 8 , h ( x ) = - 5 x , k ( x ) = | x |$

Question

Quizplus · Accepted Answer

The correct composition order to achieve $f(x) = | -5x^3 + 8 |$, starting from the innermost operation to the outermost, is: $k(x) = x^3$ (cubing x), $h(x) = -5x$ (multiplying by -5), $n(x) = x + 8$ (adding 8), and finally $m(x) = |x|$ (taking the absolute value).

Solve the Problem f(x)=∣−5x3+8∣f ( x ) = \left| - 5 x ^ { 3 } + 8 \right|f(x)=​−5x3+8​

Solve the Problem $f ( x ) = \left| - 5 x ^ { 3 } + 8 \right|$