Function Composition

Function Composition

RULES

1. You must rotate the whiteboard through your group for each question. The same person cannot solve every time.

2. The first minute on the timer is for your solver to work alone (and for you to attempt). The second minute will be for you to help them, but not do it for them. They must keep the marker in their hand at all times. At the end of the two minutes, every group will hold up their board.

3. Every correct answer will earn you one point, you can shoot your trashketball to earn more!

​WINNING TEAM EARNS 5 POINTS FOR MIDTERM EXAM!!

Multiple Choice

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²
• 18x² + 4
• 6x² + 4

Multiple Choice

f(x)=x²-4
h(x)=3x+3
f(h(x))

• 3x²-9
• 12x²+8x+5
• 16x²-36x+20
• 9x²+18x+5

Multiple Choice

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

Multiple Choice

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

• 16
• 4
• -4
• None of these.

Multiple Choice

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

• 182
• 40
• 61
• None of the Above

Multiple Choice

• 24

• 96

• 2

• -4

• 4

Math Response

Evaluate the function composition. For no solution, type 'x'.

f(0)

Type answer here

Correct Answer: -5

Deg^°

Rad

Math Response

Evaluate the function composition. For no solution, type 'x'.

g(1)

Type answer here

Correct Answer: 8

Deg^°

Rad

Multiple Choice

• $$16x+10$$

• $$-2x+6$$

• $$-16x-20$$

• $$-16x+6$$

• $$12x-14$$

Open Ended

Given:

$$f\left(x\right)=3x+4$$
$$h\left(x\right)=x-6$$  
  $$g\left(x\right)=x^2+2x$$  
Find:  $$h\left(f\left(5\right)\right)$$  

Multiple Choice

• 3
• 1
• 4
• None of the Above

Math Response

Evaluate the function composition. For no solution, type 'x'.

f(g(2))

Type answer here

Correct Answer: -2

Deg^°

Rad

Open Ended

Given: $$f\left(x\right)=2x-5$$  
$$g\left(x\right)=x^2-6x$$  
$$h\left(x\right)=2x^2+5x-3$$  

Find:  $$f\left(h\left(4\right)\right)$$  

Fill in the Blanks

Evaluate the function composition. For no solution, type 'x'.

$f\left(x\right)=x^2-2x+3$

$g\left(x\right)=4x-2$

Is f(g(x)) = g(f(x))?

Math Response

Evaluate the function composition. For no solution, type 'x'.

f(g(8)

Type answer here

Correct Answer: 10

Deg^°

Rad

Math Response

Evaluate the function composition. For no solution, type 'x'.

g(f(9))

Type answer here

Correct Answer: 3

Deg^°

Rad