CCSS.Math.Content.HSF.BF.B.4

Find the inverse function:
f(x) = 5^x

• f ^-1(x) = log₅(x)
• f ^-1(x) = log_x(5)
• f ^-1(x) = 5^x
• f ^-1(x) = x⁵

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CCSS.Math.Content.HSF.BF.B.4

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Tags

CCSS.Math.Content.HSF.BF.B.4

are these inverse functions?

• no
• yes
• no way to tell

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CCSS.Math.Content.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.Math.Content.HSF.BF.B.4

Will the inverse of this function be a function?

• Yes
• No
• No way to tell

Tags

CCSS.Math.Content.HSF.BF.B.4

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Tags

CCSS.Math.Content.HSF.BF.B.4

When finding the inverse of a relation, 
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

• solve for y
• replace y with f^-1(x)
• solve for x
• find the greatest common factor

Tags

CCSS.Math.Content.HSF.BF.B.4

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)).  Are the two functions inverses of each other?

• x + 20 ; Yes they are inverses
• x + 20 ; No, they are not inverses
• x ; Yes they are inverses
• x ; No, they are not inverses

Tags

CCSS.Math.Content.HSF.BF.B.4

Was the inverse function found correctly?

• no,
• yes

Tags

CCSS.Math.Content.HSF.BF.B.4

are these inverse functions?

• no
• yes
• no way to tell

Tags

CCSS.Math.Content.HSF.BF.B.4