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Definition of Functions

Calculate the...

Question

Calculate the value of $f (- 2) + g (2)$ from the graphs of $f (x)$ and $g (x)$ shown above.

A

-3

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B

0

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C

3

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D

6

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Solution

The correct option is C 3
Each unit corresponds to one unit in the graph.
Since the equation of the straight line is $g (x)$ , we can observe that $g (2) = - 3$ .
The parabola represents $f (x)$ .
Hence $f (- 2) = 6$
Hence, $f (- 2) + g (2) = 6 - 3 = 3$

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