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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.4a
Find the inverse of f(x) = 4x + 7
  1. f⁻¹(x)=x+74
  2. f⁻¹(x)=x-74
  3. f⁻¹(x)=4x-7
  4. f⁻¹(x)=x4-7
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse of f(x) = 7 - 4x?
  1. f⁻¹(x) = 7 + 4x
  2. f⁻¹(x)=x-74
  3. f⁻¹(x)=7-x4
  4. f⁻¹(x)=x4-7
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. (3x)+2
  2. 3x+2
  3. x+23
  4. 3+2xx
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: g(x)=3√x+5.
  1. g⁻¹(x) = x³ + 5
  2. g⁻¹(x)=(x-5)3
  3. g⁻¹(x)=3√x-5
  4. g⁻¹(x) = x³ - 5
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse of k(x)=1x−4?
  1. k⁻¹(x)=1x+4
  2. k⁻¹(x)=1x+4
  3. k⁻¹(x)=1−4xx
  4. k⁻¹(x)=x1+4x
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of g(x)=-3x.
  1. g-1(x)=x+1
  2. g-1(x)=-3x-3
  3. g-1(x)=x-1
  4. g-1(x)=-13x
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.4a
Find the inverse of the function g(x)=-4x+1.
  1. g-1(x)=1x+3
  2. g-1(x)=3x+2
  3. g-1(x)=1x+2
  4. g-1(x)=-x+14
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse of f(x)=x+24?
  1. f⁻¹(x) = 4x - 2
  2. f(x)=x-24
  3. f⁻¹(x) = 4x + 2
  4. f(x)=x+24
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse of f(x) = 3x + 5?
  1. f⁻¹(x)=x-53
  2. f⁻¹(x)=x+53
  3. f⁻¹(x) = 3x - 5
  4. f⁻¹(x)=(x3-5)
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = √(x + 5), x ≥ -5.
  1. x² - 5
  2. √x - 5
  3. (x - 5)²
  4. x² + 5
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: f(x) = √(x - 3), x ≥ 3.
  1. f⁻¹(x) = (x - 3)²
  2. f⁻¹(x) = √x + 3
  3. f⁻¹(x)=x²+3
  4. f⁻¹(x) = x² - 3
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
If g(x) = (2x + 3)/(x − 1), find g⁻¹(x):
  1. g⁻¹(x)=x−32−x
  2. g⁻¹(x)=x+3x−2
  3. g⁻¹(x)=x+12x+3
  4. g⁻¹(x)=3−xx+2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which is the inverse of f(x)=2x-7?
  1. f-1(x)=27(x+1)
  2. f-1(x)=27x+7
  3. f-1(x)=x+72
  4. f-1(x)=x2+7
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x)=x−53.
  1. f⁻¹(x) = 3x + 5
  2. f(x)=x−53
  3. f⁻¹(x) = 3x - 5
  4. f(x)=x3−5
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x)=1+e2x
  1. f⁻¹(x) = 2 ln(x - 1)
  2. f⁻¹(x)=ln(√(x-1))
  3. f⁻¹(x)=12ln(x-1)
  4. f⁻¹(x)=ex-12
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