Composite & Inverse Functions

Given f(x) = x+3, find f(-2).

• -1
• 1
• 5
• -5

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

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSF-BF.A.1C

What is the first step in finding the equation of the inverse of a function?

• get x by itself
• switch x and y
• solve for y
• write the function in inverse function notation

Find the inverse function of f(x) = 3x - 4

• 4x + 3
• 3x + 4
• 1/3x + 4/3
• x/3 - 4/3

Tags

CCSS.HSF-BF.B.4A

Given
 f(x) = 2x² + 5x - 17,
find f(-1). 

• f(-1) = -20
• f(-1) = -24

Tags

CCSS.HSF.IF.A.2

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

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

What's the name of the inverse of g(x)?

• f(x)
• f^-1(x)
• y
• g^-1(x)