Inverse and Radical Functions

What is the inverse of the function f(x) = 4x + 6?

• $f^{-1}\left(x\right)$ = $\frac{x\ +\ 6}{\text{4}}$

• $f^{-1}\left(x\right)\ =\ \frac{\text{x - 6}}{\text{4}}$

• y = 4x + 6

• $f^{-1}\left(x\right)\ =\ \frac{\text{x - 4}}{\text{6}}$

Tags

CCSS.HSF.BF.B.4

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

Tags

CCSS.HSF.BF.B.4

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

• f(x)
• f^-1(x)
• y
• g^-1(x)

Tags

CCSS.HSF.BF.B.4

Are the following inverses of each other?

• True
• False

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

Find the inverse of the function including any restriction on domain

• f^-1 = x³ − 5, x ≥ 5
• f^-1 = x³ + 5,  x ≥ 0
• f^-1 = x³ + 5
• Inverse does not exist

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

If the graph of f(x) includes the points (5, -3), (2, 1), and (-4, -9), then what points will be on the graph of the INVERSE of f(x)?

• (-5, 3), (-2, -1), and (4, 9)
• (3, -5), (-1, -2), and (9, 4)
• (-3, 5), (1, 2), and (-4, -9)
• (-3, 5), (1, 2), and (-9, -4)

Tags

CCSS.HSF.BF.B.4

Give the domain and range of the graph shown

• Domain: x ≥ 0, Range: y ≥ 5
• Domain: x ≤ 0, Range: y ≤ 5
• Domain: x ≥ 5, Range: y ≥ 0
• Domain: x ≤ 5, Range: y ≤ 0

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Give the domain and range of the graph shown

• Domain: x ≥ -2, Range: y ≥ 4
• Domain: x ≤ -2, Range: y ≤ 4
• Domain: x ≥ 4, Range: y ≥ -2
• Domain: x ≤ 4, Range: y ≤ -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

Tags

CCSS.HSF-BF.A.1B