Composite & Inverse Functions

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• g(f(x))= -3x²-6
• g(f(x))= -3x²+2
• g(f(x))=9x²+2
• g(f(x))= -9x²+2

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

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

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

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28

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 function of a quadratic (x²)?

• A square root function

• 2x

• Another quadratic

• A linear function

Tags

CCSS.HSF.BF.B.4

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) =√(x+5)
• f^-1(x) = x² - 5

Tags

CCSS.HSF.BF.B.4