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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
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.4c
What is f⁻¹(8.9) from the table below?
  1. 1
  2. 2
  3. 3
  4. 4
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Given: f(x) = 6(x − 4)² + 8 Which domain makes f(x) invertible?
  1. x ≤ 8
  2. x > 0
  3. x ≥ −4
  4. x ≥ 4
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Given f(x)=xx−1 Which domain makes f(x) invertible?
  1. x > 1
  2. x < 1
  3. Both A and B
  4. x ≠ 1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Is f(x) = √x one-to-one?
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
The graph is plotted for y=ex with domain x ≤ 2.
Is this restricted function invertible?
  1. Yes, because it's strictly increasing
  2. No, because it fails the horizontal line test
  3. Only if further restricted
  4. No, because it's not continuous
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is the value of f⁻¹(-14) using the table?
  1. -1
  2. 2
  3. 5
  4. It cannot be determined
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
If f(10) = 20, what is f⁻¹(20)?
  1. 10
  2. 20
  3. -10
  4. -20
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(9)?
  1. 1
  2. 2
  3. 3
  4. 4
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse of f(x)=3x-1?
  1. f-1(x)=x+13
  2. f-1(x)=x+3x
  3. f-1(x)=3x+1
  4. f-1(x)=4x
Grade 11 Functions and Relations CCSS: HSF-BF.B.4
Find the inverse of g(x) = -2x + 5.
  1. g⁻¹(x)=x-52
  2. g⁻¹(x)=x-5-2
  3. g⁻¹(x)=5-x2
  4. g⁻¹(x)=5+x-2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
Let f(x) = |x| and g(x) = x².
Find h(x) = f(g(x)).
  1. h(x) = x², ℝ
  2. h(x) = |x|, ℝ
  3. h(x) = x⁴, ℝ
  4. h(x) = x², x ≥ 0
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
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