turkey-yks 2019 Q24

turkey-yks · Other · yks-ayt Chain Rule Chain Rule with Composition of Explicit Functions
A function f is defined on the set of real numbers as
$$f ( x ) = x ^ { 2 } + x - 4$$
A function g defined and continuous on the set of real numbers has a derivative $g ^ { \prime }$ such that $g ^ { \prime } ( x ) = 0$ only for $x = 2$. Accordingly, the product of the x values satisfying
$$( g \circ f ) ^ { \prime } ( x ) = 0$$
is what?
A) 0
B) 1
C) 3
D) 4
E) 6
A function f is defined on the set of real numbers as

$$f ( x ) = x ^ { 2 } + x - 4$$

A function g defined and continuous on the set of real numbers has a derivative $g ^ { \prime }$ such that $g ^ { \prime } ( x ) = 0$ only for $x = 2$.\\
Accordingly, the product of the x values satisfying

$$( g \circ f ) ^ { \prime } ( x ) = 0$$

is what?\\
A) 0\\
B) 1\\
C) 3\\
D) 4\\
E) 6