Function Notation and Composite Functions Review

How do you read f(x)?

• f x

• f of x

• f parenthesis x

• f with an x inside parenthesis

Tags

CCSS.HSF.IF.A.1

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

• Let x = 2

• Let y = 2

Tags

CCSS.HSF.IF.A.2

If g(x) = 4x - 7, evaluate g(-9).

• g(-9) = 29

• g(-9) = -43

• g(-9) = 43

• g(-9) = -29

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

If f(x) = x² + 3, evaluate f(-2)

• -1

• 1

• 7

• -7

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

If f(x) = -4x - 5 and g(x) = 3 - x,

what is g(-4) + f(1)?

• 7

• -2

• -9

• -10

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given that  $f\left(x\right)=2x-3$  and  $g\left(x\right)=x^2+4x$  

Find  $5f\left(-4\right)+g\left(2\right)$  

• 67

• -43

• 6

• 1

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

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)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(x) = 3x + 10

g(x) = x - 2

Find g(f(-10))

• -42

• -26

• -18

• -22

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2