Chapter 7 Composition and Inverse Functions

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

• 19
• 23
• -10
• None of these.

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1B

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSF-BF.B.4B

Find the inverse of f(x) = -3x²+5

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4D

What's the name of the inverse of g(x)?

• f(x)
• f^-1(x)
• y
• g^-1(x)

Tags

CCSS.HSF-BF.B.4A

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSF-BF.A.1C

Find the inverse,  $f^{-1\ }\left(x\right),\$  of  $f\left(x\right)$  
 given  $f\left(x\right)=\frac{1}{2}x+4$  

•  $2x-4$  

•  $\frac{x+4}{2}$  

•  $2x-8$  

•  $2x+8$  

Given  $f\left(x\right)=2x-5$  and   $h\left(x\right)=3x,$  
 find  $h\left(f\left(x\right)\right)$  

•  $6x-5$  

•  $6x^2-15x$  

•  $6x-15$  

•  $2x^2-5$  

Tags

CCSS.HSF-BF.A.1C

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5