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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 of f(x)=ex+2:
  1. f⁻¹(x) = ln(x) − 2
  2. f⁻¹(x) = ln(x + 2)
  3. f(x)=ex-2
  4. f⁻¹(x) = ln(x) + 2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = eˣ, g(x) = ln(x). Find g(f(x)).
  1. eˣ
  2. x
  3. ln(x)
  4. x²
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(2)?
  1. 1
  2. 2
  3. 4
  4. 8
Grade 11 Functions and Relations CCSS: HSF-BF.B.4
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) = (x³) + 1
  4. f⁻¹(x) = (x³) - 1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
Find h(x) = f(g(x)) and state its domain.
Let f(x) = x³ and g(x) = ∛x.
  1. h(x) = x, x ≥ 0
  2. h(x) = x, ℝ
  3. h(x) = |x|, ℝ
  4. h(x) = x³, ℝ
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x)=log4(x+2)
  1. f⁻¹(x)=4x+2
  2. f⁻¹(x) = 4ˣ⁺²
  3. f⁻¹(x)=log4(x)-2
  4. f⁻¹(x)=4x-2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of g(x) = x³ - 8
  1. 3√x+8
  2. 3√x-8
  3. (x+8)3
  4. x3+8
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of g(x)=log5(x-1).
  1. 5-x+1
  2. 5x-1
  3. log5(x)+1
  4. 5x+1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: g(x) = (x - 2)², x ≥ 2
  1. g⁻¹(x) = -√x + 2
  2. g⁻¹(x) = √x + 2
  3. g⁻¹(x) = x² + 2
  4. g⁻¹(x) = √(x + 2)
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse ofh(x)=log2(x−5)?
  1. h⁻¹(x)=2x-5
  2. h⁻¹(x)=2x+5
  3. h⁻¹(x)=log2(x)+5
  4. h⁻¹(x)=5−2x
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x)=(12)x+5, g(x) = 2x − 10. Find f(g(x)).
is g the inverse of f?
  1. Yes, f(g(x)) = x
  2. No, f(g(x)) = x + 10
  3. Yes, f(g(x)) = 2x
  4. No, f(g(x)) = x - 2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(10.4) from the table below?
  1. 1
  2. 2
  3. 3
  4. 4
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