1.7-1.9 Quiz Review

Let $f\left(x\right)\ =\ x\ +\ 14$ 
and
 $g\left(x\right)\ =\ 3x\ +\ 7$ 

What is  $f\left(g\left(x\right)\right)$ = ? 

•  $3x\ +\ 21$  

•  $3x\ +49$  

•  $4x\ +\ 21$  

•  $2x\ -7$  

Let  $f\left(x\right)\ =\ 2x$ and $g\left(x\right)\ =\ 3x\ +2$  

What is  $f\left(g\left(7\right)\right)$  ?

• 46

• 44

• 28

• 71

Tags

CCSS.HSF-BF.A.1C

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x). 

• 14x-10
• -8x+2
• 2x+2
• 2x-2

Tags

CCSS.HSF-BF.A.1B

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x). 

• x²+x+9
• x²-x+9
• x²-x
• x²-x+18

Tags

CCSS.HSF-BF.A.1B

p(x) = 3x + 4

q(x) = 2x²

Find p(q(x))

• 6x³+8x²

• 18x² + 4

• 6x² + 4

• 18x²+48x+32

The inverse has been reflected over which line?

• y = x
• x = 0
• y = 0
• x = -y

Tags

CCSS.HSF-BF.B.4B

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

Tags

CCSS.HSF-BF.B.4C

Which is f ^-1(x)?

• f ^-1(x) = 5x + 3

• f ^-1(x) = 5x - 3

• f ^-1(x) = 5x - 15

• f ^-1(x) = 1/5(x) + 3/5

Tags

CCSS.HSF-BF.B.4A

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Tags

CCSS.HSF-BF.B.4C

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, reflected over the y-axis, vertical stretch

• Reflected over the x-axis, vertical shrink, and shifted right 5