Quiz: 1.8-1.9 (Composite & Inverse Functions

Which one is the same as

 $f\ \circ\ g\ (x)$  

• g(f(x))

• f(g(x))

Given 

 $f\left(x\right)=2x+25$ ,  find  $f\left(5\right)$  .

•  $f(5)=60$  
  

•  $f(5)=40$  
  

•  $f(5)=-15$  
  

•  $f(5)=35$  
  

Given  $f(x)=3x+10$  

and  $g(x)=x-2$  
Find  $f(g(5))$  .

• 19

• 23

• -10

• None of these.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

• -14

• 20

• 6

• 7

f(x) = x² + 3
g(x) = 4x - 3
Find (fg)(-1)

• 4
• -52
• -4
• 52

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given  $f(x)=x^2+25$   and  $g(x)=x-5$  , find  $(f+g)(x)$  .

• x² + x - 20

• x² + x + 20

• -x² + x - 20

• x² - x - 20

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Tags

CCSS.HSF-BF.A.1C

Given  $f(x)=-3x+7$   and  $g(x)=2x^2-8$  , find f(g(x)).

•  $f(g(x))=-6x^2+31$   

•  $f(g(x))=-6x^2+24$  
  

•  $f(g(x))=18x^2-84x+6$  
  

•  $f(g(x))=9x^2-42x-1$  
  

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

• $f^{-1}(x)=4x-3$
  

• $f^{-1}(x)=-\frac{1}{4}x-3$
  

• $f^{-1}(x)=\frac{1}{4}x+3$

• $f^{-1}(x)=-4x-3$
  

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

Tags

CCSS.HSF-BF.B.4B