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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)=-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 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
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 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
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 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 10 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x)=x.
  1. f-1(x)=x
  2. f-1(x)=y
  3. f-1(x)=1
  4. f-1(x)=1x
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the following function. f(x)=4x3+2
  1. f-1(x)=x3-24
  2. f-1(x)=3√x-24
  3. f-1(x)=3√x-24
  4. f-1(x)=3√x-24
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, HSF-BF.B.4a
Find the inverse of the following function. f(x)=39x-5
  1. f-1(x)=log3(19x+5)
  2. f-1(x)=log3(x9)+5
  3. f-1(x)=log3(x+5)9
  4. f-1(x)=log3(x)+59
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
If f(x)=log4(3x-1)+10, what is the inverse of this function?
  1. f-1(x)=4x-10+13
  2. f-1(x)=4(x3+1)-10
  3. f-1(x)=13(4x-9)
  4. f-1(x)=4x-103+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. 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 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 of the following function. f(x)=ex3
  1. This function has no inverse.
  2. f-1(x)=ln(x3)
  3. f-1(x)=ln(3√x)
  4. f-1(x)=3√ln(x)
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following functions is the inverse of y=3x+5?
  1. -y=-3x-5
  2. y=x-53
  3. x=3y+5
  4. y=13x-5
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following is the inverse of y=5x2+43,x≥0?
  1. -y=±√5x2+34
  2. -y=-5x2-4-3
  3. x=5y2+43
  4. y=√3x-45
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following is the inverse of y=x2+4,x≤0 ?
  1. -y=√x-4
  2. y=±√x-2
  3. x=±√y2+4
  4. y=√x-4

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