Creating and Evaluating Composite Functions Practice II

1. The graphs of the equations ‍$y=f(x)$ and ‍‍$y=g(x)$ are shown in the grid below.

   
   

   Which of the following best approximates the value of ‍$g(f(-2))$?

   Choose 1 answer:
   

   1. -3
   2. -2
   3. 0
   4. 3
      

2. The tables below show some inputs and outputs of functions ‍$g$ and ‍$h$.

   $x$	-6	-4	-2	-1	0	2
   $g(x)$	-21	3	11	9	3	-21

   
   

   $x$	-1	0	2	3	4	6
   $h(x)$	5	2	2	5	10	26

   
   

   Evaluate.

   $(h\circ g) (0)=$
   

3. The tables below show some inputs and outputs of functions ‍$f$ and ‍$h$.

   $x$	-6	-4	-2	0	2	4
   $f(x)$	-4	-3	-2	-1	0	1

   
   

   $x$	-8	-4	-2	0	1	2
   $h(x)$	80	2	2	10	17	26

   
   

   Evaluate.

   $h(f(-2))=$
   

4. The graphs of the equations ‍$y=f(x)$ and ‍‍$y=g(x)$ are shown in the grid below.

   
   

   Which of the following best approximates the value of ‍$(f\circ g) (3)$?

   Choose 1 answer:
   

   1. -6
   2. -2
   3. 0
   4. 6

Source: Khan Academy, https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:composing/e/evaluate-composite-functions-from-graphs-and-tables
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