Operations, Compositions, and Inverses of Functions

If a function has the point (4,-2) then its inverse must have which point?

• (-4,-2)

• (-4,2)

• (-2,4)

• (2,-4)

Tags

CCSS.HSF-BF.B.4C

Find the inverse of f(x) = 3x +8

• f^-1(x) = 3(x-8)
• f^-1(x) = (8x-1)/3
• f^-1(x) = (x-8)/3
• f^-1(x) = (x+8)/3

Tags

CCSS.HSF-BF.B.4A

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSF-BF.B.4B

What is the inverse of the points
(1,3)(2,4)(6,8)

• (3,1)(4,2)(8,6)
• (-3,-1)(-4,-2)(-8,-6)
• (1,3)(2,4)(6,8)
• (-1,-3)(-2,-4)(-6,-8)

Tags

CCSS.HSF-BF.B.4C

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

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

• 3x² - 2
• 3x + 8
• 3x + 4
• None of these.

Tags

CCSS.HSF-BF.A.1C

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

When f(x) = 4x+8 and
g(x) = x+3, find
(f⋅g)(x)

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24

Tags

CCSS.HSF-BF.A.1C

Which graph is the inverse of the graph shown?

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4C