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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 g(x)=3√2x-1.
  1. 3√2x+1
  2. (x+1)32
  3. x3+12
  4. x3-12
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⁻¹(x)=x-53
  3. f⁻¹(x) = 3x + 5
  4. f⁻¹(x)=x+35
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = 8 - 4x
  1. f⁻¹(x)=8-x4
  2. f⁻¹(x)=x-84
  3. f⁻¹(x) = 4x - 8
  4. f⁻¹(x)=x+84
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
If g(x) = ln(x + 1), find g⁻¹(x):
  1. g⁻¹(x)=ex−1
  2. g⁻¹(x)=ln(x−1)
  3. g⁻¹(x)=ex+1
  4. g⁻¹(x)=ln(x+1)
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse. f(x)=15x3
  1. f-1(x)=53√x
  2. f-1(x)=3√5x
  3. f-1(x)=3√15x
  4. f-1(x)=153√x
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = √(x + 4)
  1. f⁻¹(x)=x2−4 (for x ≥ 0)
  2. f⁻¹(x)=x2+4
  3. f⁻¹(x) = x − 4
  4. f⁻¹(x)=(x−4)2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of g(x) = -5x + 10.
  1. x-105
  2. 10-x5
  3. -5x + 10
  4. x+105
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: f(x)=4+2x-1.
  1. f⁻¹(x)=log2(x-4)+1
  2. f⁻¹(x)=log2(x)-4+1
  3. f⁻¹(x)=2x-4+1
  4. f⁻¹(x)=x-4log2(1)
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
Inverse of f(x)=12x+3 is:
  1. f⁻¹(x)=1−3x2x
  2. f⁻¹(x)=1+3x2x
  3. f⁻¹(x)=1x+32
  4. f⁻¹(x)=1x-32
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, HSF-BF.B.4a
What is the inverse of f(x)=1x+2, x ≠ -2?
  1. f⁻¹(x)=(1x)-2
  2. f⁻¹(x)=(1x)+2
  3. f⁻¹(x)=1x+2
  4. f⁻¹(x) = x + 2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of p(x)=5(10x+3.
  1. p⁻¹(x)=log10(x-5)+3
  2. p⁻¹(x)=log10(x)-5-3
  3. p⁻¹(x)=log10x5-3
  4. p⁻¹(x)=log10(x5)-3
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: g(x)=4x-17.
  1. g⁻¹(x)=7x+14
  2. g⁻¹(x)=4x+17
  3. g⁻¹(x)=7x-14
  4. g⁻¹(x)=7x+14
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of g(x) = (x − 2)/(x + 1), x ≠ −1
  1. g⁻¹(x) = (2 − x)/(x − 1)
  2. g⁻¹(x) = (x + 2)/(1 − x)
  3. g⁻¹(x) = (2 + x)/(x − 1)
  4. g⁻¹(x) = (x − 2)/(x + 1)
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x)=(x−5)3.
  1. f⁻¹(x)=3√x+5
  2. f⁻¹(x)=3√x+5
  3. f⁻¹(x)=(x+5)3
  4. f⁻¹(x)=(x-5)3
Grade 10 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x)=12x+45.
  1. f-1(x)=2x-85
  2. f-1(x)=2x-45
  3. f-1(x)=-12x-45
  4. f-1(x)=-2x-54
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse off(x)=10x-2
  1. f⁻¹(x)=10x+2
  2. f⁻¹(x)=log10(x-2)
  3. f⁻¹(x)=log10(x)+2
  4. f⁻¹(x)=log10(2x)
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of h(x)=12x+6.
  1. 2(x - 6)
  2. 12(x-6)
  3. 2x - 6
  4. (12x)-6
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. f⁻¹(x) = -x - 3
  3. f⁻¹(x) = x - 3
  4. f⁻¹(x) = x + 3
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