Functions, Composite Functions, Inverse Functions

Which one is the same as fοg(x)

• g(f(x))

• f(g(x))

Tags

CCSS.HSF-BF.A.1C

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

• f(-1) = -20
• f(-1) = -24

Tags

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-BF.A.1C

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

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C

What is f(g(3))?

• 1/8

• 8

• 1/4

• 1/2

Tags

CCSS.HSF-BF.A.1C

• 9 - √17
• 4
• 2
• √8

Tags

CCSS.HSF-BF.A.1C

Find h(g(x))

• 2x + 6

• 2x + 3

• 2x² + 6

• 2x² + 3

Tags

CCSS.HSF-BF.A.1C

Find f(h(x))

• 4x²

• 2x²

• 4x⁴

• 2x³

Tags

CCSS.HSF-BF.A.1C

Find h(f(x))

• 4x²

• 2x²

• 4x⁴

• 2x³

Tags

CCSS.HSF-BF.A.1C

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