Practice 1.4/1.5

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

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

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

Tags

CCSS.HSF-BF.A.1C

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

what is and g(f(x)) ?

• 2x²-1

• 2x-1

• 2x-2

• x-2

Tags

CCSS.HSF-BF.A.1C

What is the inverse of the function
f(x) = 2x + 4   ?

• f^-1(x) = 4(x -2)
• f^-1(x) = (x-4)/2
• f^-1(x) = x/2 - 4
• f^-1(x) = x/4 + 2

Tags

CCSS.HSF-BF.B.4A

To graph the inverse of a function...

• Rotate it around the origin

• Reflect it across the x-axis

• Reflect it across the y-axis

• Switch the x and y coordinates and plot the new points

Tags

CCSS.HSF-BF.B.4C

Are the blue and red graphs inverse functions?

• Yes, the functions reflect over y = x

• No, they do not reflect over the x - axis.

Tags

CCSS.HSF-BF.B.4B

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

f(x)=x²-2x+1
Evaluate the function for f(-1).

• f(-1)=4
• f(-1)=0
• f(-1)=2
• f(-1)=-1

Tags

CCSS.HSF.IF.A.2

f(g(x))

• 3x - 16

• 3x - 2

• 3x - 26

• 4x - 2

Tags

CCSS.HSF-BF.A.1C

When creating an inverse you must...

• Switch the x and y
• Solve for x
• Draw a graph
• Potato

Tags

CCSS.HSF-BF.B.4C

Find the inverse of  $f\left(x\right)=x^2+5$  

•  $f^{-1}\left(x\right)=x-25$  

•  $f^{-1}\left(x\right)=\sqrt{5+x}$  

•  $f^{-1}\left(x\right)=\sqrt{x-5}$  

•  $f^{-1}\left(x\right)=\sqrt{x}-5$  

Tags

CCSS.HSF-BF.B.4A