Evaluate composition of functions

 $If\ g\left(x\right)=3\left|x\ -\ 2\right|-x,\ what\ is\ g\left(0.5\right)?$  

• -5

• -2

• 1

• 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

 $If\ f\left(x\right)=x^2+4x-12,\ find\ f\left(2\right).$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Josie hit a baseball straight up to the air. The equation below describes the height of the ball (h), in meters, as a function of time (t) in seconds.

 $h\left(t\right)=-9.8t^2+30t+1.5$  
What is the height of the ball after 3 seconds?

• 3.3 meters

• 62.1 meters

• 120.9 meters

• 179.7 meters

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Which expression represents

 $f\left(g\left(x\right)\right)\ if\ f\left(x\right)=x^2-1\ and\ g\left(x\right)=x+3?$  

•  $x^3+3x^2-x-3$  

•  $x^2+6x+8$  

•  $x^2+x+2$  

•  $x^2+8$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSA.APR.A.1

 $If\ f\left(x\right)=x^2+2x+1\ and\ g\left(x\right)=3\left(x+1\right)^2,\$  

which is an equivalent form of (x) + g(x)?

•  $x^2+4x+2$  

•  $4x^2+2x+4$  

•  $4x^2+8x+4$  

•  $10x^2+20x+10$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

 $If\ f\left(x\right)=x^2-x\ and\ g\left(x\right)=x-1,$  what is f(g(x))?

•  $x^2-x-1$  

•  $x^2-x-2$  

•  $x^2-3x+2$  

•  $x^2-3x+1$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

• 7

• 97

• 13

• 6

Tags

CCSS.HSF-BF.A.1C

• 
• 
• 
• 

Tags

CCSS.HSF-BF.A.1B

If  $f\left(x\right)=\frac{1}{x}$   and  $g\left(x\right)=3x+2$   find  $\left(f\circ g\right)\left(2\right)$  

•  $\frac{1}{4}$  

•  $\frac{1}{8}$  

•  $\frac{7}{2}$  

• 8

Tags

CCSS.HSF-BF.A.1C