Answer:
C
Step-by-step explanation:
First take a look at the value of if :
From the definition of the function we can see that that value is 5.
Now take a look at the graph and eliminate graphs where is not equal to 5 for :
For answer A it is correct, i.e. for
For answer B, we can see that for so we can eliminate that answer.
For answer C it is correct, i.e. for
For answer D, we can see that for so we can eliminate that answer.
Now we can take a look at the function equation at :
From the definition of the function we can see that that value is 3.
We have to check A and C:
On the graph in A we can see that so that does not match the definition of
On the graph C we can see that and that does match the definition of .
So, since we have eliminated A, B and D, the correct answer is C
(You can further check for C if it matches the function definition if you wish)