turkey-yks 2014 Q36

turkey-yks · Other · lys1-math Composite & Inverse Functions Evaluate Composition from Algebraic Definitions
The graph of the function $f : R \rightarrow R$ is given below.
Using the function f, the function g is defined for every $\mathrm { x } _ { 0 } \in \mathrm { R }$ as
$$g \left( x _ { 0 } \right) = f \left( x _ { 0 } \right) + \lim _ { x \rightarrow x _ { 0 } + } f ( x )$$
Accordingly, what is the value of (gof)(2)?
A) - 2
B) - 1
C) 0
D) 1
E) 2 
The graph of the function $f : R \rightarrow R$ is given below.

Using the function f, the function g is defined for every $\mathrm { x } _ { 0 } \in \mathrm { R }$ as

$$g \left( x _ { 0 } \right) = f \left( x _ { 0 } \right) + \lim _ { x \rightarrow x _ { 0 } + } f ( x )$$

Accordingly, what is the value of (gof)(2)?\\
A) - 2\\
B) - 1\\
C) 0\\
D) 1\\
E) 2
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