Composite Functions review

Composite Functions review

Standard

NC.M4.AF.1 Apply properties of function composition to build new functions from existing functions.

Standard Mastery

Inside-Out Method

Solving for a value

Example 2

Example 3

Multiple Choice

f(x) = 3x + 10

g(x) = x - 2

Find g(f(-10))

• -42

• -26

• -18

• -22

Multiple Choice

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

• 19
• 23
• -10
• None of these.

Multiple Choice

 $Given:\ f\left(x\right)=x^{2\ }and\ g\left(x\right)=5x+3$  

If you are asked to find f(g(2)), where do you plug the 2 in first?

• I plug the 2 into the f function

• I plug the 2 into the g function

Multiple Choice

 $Given\ f\left(x\right)=x^2and\ g\left(x\right)=5x+3$  

Find f(g(2)).  

These are the same functions as the problem above.  After you plug the 2 into the g function,the output value is 13.  For the next step of this problem, do you plug the 2 into f(x) or the 13 into f(x)?

• I plug the 13 into f(x)

• I plug the 2 into f(x)

Multiple Choice

If a question asks you to find f(2), what does that mean?

• Let x = 2

• Let y = 2

Multiple Choice

How do you read f(x)?

• f x

• f of x

• f parenthesis x

• f with an x inside parenthesis

Multiple Choice

Find f(h(5)) based on the graphs of f(x) and g(x)

• -6
• -3
• 6
• 2

Multiple Choice

• 9 - √17
• 4
• 2
• √8

Multiple Choice

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

• 19
• 23
• -10
• None of these.

Making a composite function

Open Ended

How are you feeling now about composite functions?