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Common Core Standard HSF-BF.B.4 Questions

Find inverse functions.

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Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse. f(x)=x-8x+1
  1. f-1(x)=x-1x+8
  2. f-1(x)=-9x+1
  3. f-1(x)=-x-8x-1
  4. f-1(x)=x-8x
Grade 11 Functions and Relations CCSS: HSF-BF.B.4
Find the inverse of f(x)=x-24.
  1. f⁻¹(x) = 4x + 2
  2. f⁻¹(x) = 4x - 2
  3. f⁻¹(x)=x+24
  4. f⁻¹(x)=x-24
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = 5eˣ
  1. f⁻¹(x)=ln(x5)
  2. f⁻¹(x)=ln(5x)
  3. f⁻¹(x)=eˣ5
  4. f⁻¹(x)=ln(x)-5
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = 6 − 2x
  1. f⁻¹(x)=x−62
  2. f⁻¹(x)=6−x2
  3. f⁻¹(x) = 6 + 2x
  4. f⁻¹(x)=3−x2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of g(x)=log7(5x+1).
  1. g⁻¹(x)=5(7x)+1
  2. g⁻¹(x)=7x5-1
  3. g⁻¹(x)=7x-15
  4. g⁻¹(x)=log7(5x)+1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: f(x)=3ex.
  1. f⁻¹(x)=ln(x3)
  2. f⁻¹(x) = ln(3x)
  3. f⁻¹(x)=ex3
  4. f⁻¹(x) = lnx - 3
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = x³ + 1.
  1. f⁻¹(x)=3√x−1
  2. f⁻¹(x)=3√x+1
  3. f⁻¹(x)=(x−1)3
  4. f⁻¹(x) = x³ − 1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = x³ + 1, g(x)=3√x−1. Compute f(g(x)).
  1. x
  2. x³
  3. 3√x
  4. x - 1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(2)?
  1. -1
  2. 0
  3. 1
  4. 2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
What is the standard restricted domain for sin⁻¹(x)?
  1. [0, π]
  2. [-π2,π2]
  3. [0, 2π]
  4. [-π, π]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Make f(x) = ln(x + 4) invertible.
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Is f(x)=1x one-to-one?
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