Given that $f ( x ) = \sqrt [ 4 ] { x - 4 }$ and $g ( x ) = x ^ { 4 } + 4$ determine the value of the following (if possible).
$( f \circ g ) ( 0 )$
A) 0
B) 2
C) 4
D) $x ^ { 4 } - 16$
E) not possible

Question

Quizplus · Accepted Answer

The composition $(f \circ g)(x)$ means applying $g$ first and then $f$. So, $g(0) = 0^4 + 4 = 4$, and then applying $f$ gives $f(4) = \sqrt[4]{4-4} = \sqrt[4]{0} = 0$.

Given That f(x)=x−44f ( x ) = \sqrt [ 4 ] { x - 4 }f(x)=4x−4​

Given That $f ( x ) = \sqrt [ 4 ] { x - 4 }$