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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
Which of the following equations is the inverse of [math]y=3x+5[/math]?
  1. [math]-y=-3x-5[/math]
  2. [math]y=(x-5)/3[/math]
  3. [math]x=3y+5[/math]
  4. [math]y=1/3x-5[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following equations is the inverse of [math]y=(5x^2+4)/3, x>=0[/math]?
  1. [math]-y=+-sqrt(5x^2)+3/4[/math]
  2. [math]-y=(-5x^2-4)/-3[/math]
  3. [math] x=(5y^2+4)/3[/math]
  4. [math]y=sqrt((3x-4)/5)[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following equations is the inverse of [math]y=x^2+4, x<=0[/math] ?
  1. [math]-y=sqrt(x-4)[/math]
  2. [math]y=+-sqrt(x)-2[/math]
  3. [math]x=+-sqrt(y^2+4)[/math]
  4. [math]y=sqrt(x)-4[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4a
What is the inverse of the function f(x) = [math] 8x^3 - 7 [/math]?
  1. [math]f^(-1)(x) = root3(x + 7)/(2)[/math]
  2. [math]f^(-1) (x) = root3(x + 7)/(8)[/math]
  3. [math]f^(-1)(x) = (root3 (x + 7)/2)[/math]
  4. [math]f^(-1)(x) = -8x^3 + 7[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following equations is the inverse of [math]y=sqrt(2x^2-8), \ x in [2,oo)[/math]?
  1. [math]y=+-sqrt(-2x^2+8)[/math]
  2. [math]y=sqrt((x^2+8)/2)[/math]
  3. [math] x=+-sqrt(2y^2)-8 [/math]
  4. [math]y=2(x^2+8)^2[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following equations is the inverse of [math]y=sqrt(2x^3)-8[/math]?
  1. [math]y=root3(-2x^2)+8[/math]
  2. [math]y=root3((x+8)^2/2)[/math]
  3. [math] x=pmsqrt(2y^3)-8 [/math]
  4. [math]y^2=2x^3+64[/math]

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