Inverse and Compositions

Find the inverse of f(x) = 5/11x +10 

• f^-1(x) = 11/5x - 22
• f^-1(x) = 5/11x - 22
• f^-1(x) = 11/5x - 110
• f^-1(x) = 5/11x - 110

Tags

CCSS.HSF-BF.B.4A

What is the inverse of this function?

• A
• B
• C
• D

Tags

CCSS.HSF-BF.B.4A

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

f(x) = x² - 5x
g(x) = 2x + 3
Find f(g(x))

• 4x² - 10x + 24
• 4x² + 2x - 6
• 4x² - 10x - 6
• 2x² + 10x - 24

Tags

CCSS.HSF-BF.A.1C

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

• 3x + 8
• 3x - 2
• 3x + 4
• None of these.

Tags

CCSS.HSF-BF.A.1C

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

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Tags

CCSS.HSF-BF.B.4B

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

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

Tags

CCSS.HSF-BF.A.1B

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

• 6x² + 4
• 18x² + 48x + 32
• 18x² + 32
• 12x² + 8

Tags

CCSS.HSF-BF.A.1C