Composing Functions/Function Inverse

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A

If f(x)=x+5, what is f^-1(x)?

• (x + 5)²

• x - 5

• (x + 5)^-1

• undefined

Tags

CCSS.HSF-BF.B.4A

If f(x)=3x, what is f^-1(x)?

• x/3

• 3x²

• 3x + 3x

• 3x^-1

Tags

CCSS.HSF-BF.B.4A

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

• 8x - 32
• 8x² - 32x
• 8x - 8
• 6x - 8

Tags

CCSS.HSF-BF.A.1C

When solving f(g(x)) you work in what order?

• Left to right
• Alphabetical
• INSIDE then OUT
• It doesn't matter what you solve first, just pick your favorite letter.

Tags

CCSS.HSF-BF.A.1C

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

When 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

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSF-BF.A.1C