Composition of Functions

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Tags

CCSS.HSF-BF.A.1C

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

• 34

• 71

• 35

• 142

Tags

CCSS.HSF-BF.A.1C

If  $f\left(x\right)=2x$   and  $g\left(x\right)=2x^2-1$   find  $g\left(f\left(-1\right)\right)$  

• 2

• 15

• 7

• -9

Tags

CCSS.HSF-BF.A.1C

If  $f\left(x\right)=2x$   and  $g\left(x\right)=2x^2-1$   find  $f\left(g\left(x\right)\right)$  

•  $4x^2-1$  

•  $4x^2-2$  

•  $8x^2-1$  

•  $16x^2-1$  

Tags

CCSS.HSF-BF.A.1C

Which best describes a composition of functions?

• Finding the difference between two functions

• Dividing two functions together

• Plugging one function into another function

• Multiplying two functions together

Tags

CCSS.HSF-BF.A.1C

 $g\ o\ f\ \left(x\right)$  

How else can this be denoted? 

• g(f(x))

• f(g(x))

• g(g(x))

• f(f(x))

Tags

CCSS.HSF-BF.A.1C

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

What is g(f(x))?

•  $x^2+6x+9$  

•  $x^2-6x+9$  

•  $x^2-9$  

•  $x^2-3$  

Tags

CCSS.HSF-BF.A.1C

 $a\left(x\right)=5x-8\ and\ b\left(x\right)=4x+3$  

What is b(a(x))?

•  $20x-7$  

•  $20x+7$  

•  $20x-32$  

•  $20x-29$  

Tags

CCSS.HSF-BF.A.1C

 $a\left(x\right)=3x-4$  and  $b\left(x\right)=x^2$  

What is  $b\left(a\left(x\right)\right)?$  

•  $9x^2+16$  

•  $9x^2-24x+16$  

•  $3x^2-4$  

•  $9x^2-24x-16$  

Tags

CCSS.HSF-BF.A.1C

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C