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Common Core Standard HSF-BF.B.4a Questions

Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x3 or f(x) = (x+1)/(x–1) for x ≠ 1.

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Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = |x + 2|, x ≥ -2.
  1. x - 2
  2. - x - 2
  3. |x| - 2
  4. x + 2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: f(x) = x² + 4, x ≥ 0
  1. f⁻¹(x) = √(x - 4)
  2. f⁻¹(x) = -√(x - 4)
  3. f⁻¹(x) = x² - 4
  4. f⁻¹(x) = √x + 4
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.4a
Find the inverse for the function.
f(x)=-34x+5
  1. f-1(x)=3x-54
  2. f-1(x)=34(x-5)
  3. f-1(x)=-4x-53
  4. f-1(x)=-4x+203
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.4a
Match each function with its inverse.
__ f(x)=3ln(x+2) A. f-1(x)=ex/3-2
__ f(x)=e5x+2 B. f-1(x)=ln(x)-25
__ f(x)=log(3x)2 C. f-1(x)=log(x-5)+2
__ f(x)=10x-2+5 D. f-1(x)=102x3
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse of f(x)=3√x+1?
  1. f⁻¹(x)=(x-1)3
  2. f⁻¹(x)=(x+1)3
  3. f(x)=3√x-1
  4. f⁻¹(x) = x³ - 1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x)=4ex
  1. ex4
  2. ln(4x)
  3. ln(x4)
  4. ln(x) - 4
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of g(x)=(x-3)3, x ≥ 3
  1. √x + 3
  2. -√x + 3
  3. x² + 3
  4. √(x + 3)
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: h(x)=3x-2, x ≠ 2
  1. h⁻¹(x)=(3x)+2
  2. h⁻¹(x)=3x+2
  3. h⁻¹(x)=x+23
  4. h⁻¹(x)=3+2xx
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x)=4−1x.
  1. f⁻¹(x)=1x−4
  2. f⁻¹(x)=x4x−1
  3. f⁻¹(x)=14−x
  4. f⁻¹(x)=x4x+1
Grade 10 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the function f(x)=3x-2.
  1. f-1(x)=13x+2
  2. f-1(x)=x+2
  3. f-1(x)=x+23
  4. f-1(x)=13x+23
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) = x³ + 1
  4. f⁻¹(x)=(x+1)3
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = 7x - 4
  1. x-47
  2. x+47
  3. 7x + 4
  4. x+74
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of h(x)=4+3x-2.
  1. h⁻¹(x)=log3(x)-2
  2. h⁻¹(x)=log3(x-4)+2
  3. h⁻¹(x)=3x-4+2
  4. h⁻¹(x)=x-4log3(2)
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: g(x)=log2(x-1).
  1. g⁻¹(x)=2-x+1
  2. g⁻¹(x)=2x-1
  3. g⁻¹(x)=log2(x)+1
  4. g⁻¹(x)=2x+1
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