Evaluate the function for the given value of x.
-$$f ( x ) = x ^ { 3 } - 4 x , g ( x ) = \sqrt { 5 x } , h ( x ) = 4 x + 5 , ( f \circ h \circ g ) ( 5 ) = \text { ? }$$
A) 425
B) 13,125
C) 135
D) 15,525

Question

Quizplus · Accepted Answer

To evaluate $(f \circ h \circ g)(5)$, we first apply $g$, then $h$, and finally $f$ to the input $5$. 1. $g(5) = \sqrt{5 \times 5} = \sqrt{25} = 5$.2. $h(5) = 4 \times 5 + 5 = 20 + 5 = 25$.3. $f(25) = 25^3 - 4 \times 25 = 15625 - 100 = 15525$.Thus, $(f \circ h \circ g)(5) = 15525$.

Evaluate the Function for the Given Value of X f(x)=x3−4x,g(x)=5x,h(x)=4x+5,(f∘h∘g)(5)= ? f ( x ) = x ^ { 3 } - 4 x , g ( x ) = \sqrt { 5 x } , h ( x ) = 4 x + 5 , ( f \circ h \circ g ) ( 5 ) = \text { ? }f(x)=x3−4x,g(x)=5x​,h(x)=4x+5,(f∘h∘g)(5)= ?

Evaluate the Function for the Given Value of X $f ( x ) = x ^ { 3 } - 4 x , g ( x ) = \sqrt { 5 x } , h ( x ) = 4 x + 5 , ( f \circ h \circ g ) ( 5 ) = \text { ? }$