Radical Function Inverses

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Tags

CCSS.HSF-BF.B.4A

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

Which is f ^-1(x)?

• f ^-1(x) = 3x + 5

• f ^-1(x) = 3x - 5

• f ^-1(x) = 3x - 15

• f ^-1(x) = 3x + 15

Tags

CCSS.HSF-BF.B.4A

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.4A

Find the inverse of the function.

• f^-1 = (x + 3)² − 4

• f^-1 = (x - 3)² − 4

• Inverse does not exist

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the function.

• f^-1 = x³ − 5

• f^-1 = x³ + 15

• f^-1 = x³ + 5

• Inverse does not exist

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the function.

• f^-1 = ((x − 1) / 2)³ − 4

• f^-1 = ((x + 4) / 2)³ + 1
• f^-1 = ((x − 4) / 2)³ − 1
• Inverse does not exist

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the function.

• f^-1 = 2(x − 6)³
• f^-1 = 2(x + 6)³
• f^-1 = (x − 6)³ / 2
• Inverse does not exist

Tags

CCSS.HSF-BF.B.4A

Write the inverse function. $y\ =\ \left(5x-6\right)^2-10$ 

•  $y=\frac{\left(x-10\right)^2+6}{5}$ 

•  $y=\frac{\left(x+10\right)^2+6}{5}$ 

•  $y=\frac{\sqrt{x+10}+6}{5}$ 

•  $y=\frac{\sqrt{x-10}-6}{5}$ 

Tags

CCSS.HSF-BF.B.4A

Write the inverse function.  $y=\left(2x-1\right)^{\frac{1}{3}}+7$ 

•  $y=\frac{\left(x+7\right)^3-1}{2}$ 

•  $y=\frac{\left(x+1\right)^3+7}{2}$ 

•  $y=\frac{\left(x-1\right)^3+7}{2}$ 

•  $y=\frac{\left(x-7\right)^3+1}{2}$ 

Tags

CCSS.HSF-BF.B.4A