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This printable supports Common Core Mathematics Standard HSF-BF.B.4, HSF-BF.B.4a

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Inverse Functions, #2 (Grade 10)

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Inverse Functions, #2

1. 
Find the inverse of the function [math]f(x) = 3x-2[/math].
  1. [math]f^{-1}(x) = 1/3 x + 2[/math]
  2. [math]f^{-1}(x) = x +2 [/math]
  3. [math]f^{-1}(x) = x + 2/3[/math]
  4. [math]f^{-1}(x) = 1/3 x + 2/3[/math]
2. 
Find the inverse of [math]f(x) = x[/math].
  1. [math]f^{-1}(x) = x[/math]
  2. [math]f^{-1}(x) = y[/math]
  3. [math]f^{-1}(x) = 1[/math]
  4. [math]f^{-1}(x) = 1/x[/math]
3. 
Find the inverse of [math]f(x) = 1/2 x + 4/5[/math].
  1. [math]f^{-1}(x) = 2x - 8/5[/math]
  2. [math]f^{-1}(x) = 2x - 4/5[/math]
  3. [math]f^{-1}(x) = -1/2 x - 4/5[/math]
  4. [math]f^{-1}(x) = -2x - 5/4[/math]
4. 
Find the inverse. [math]f(x) = 1/5 x^3[/math]
  1. [math]f^{-1}(x) = 5root[3](x)[/math]
  2. [math]f^{-1}(x) = root[3](5x)[/math]
  3. [math]f^{-1}(x) = root[3](1/5 x)[/math]
  4. [math]f^{-1}(x) = 1/5root[3](x)[/math]
5. 
Find the inverse of the following function. [math]f(x) = 4x^3 + 2[/math]
  1. [math]f^{-1}(x) = (x^3-2)/4[/math]
  2. [math]f^{-1}(x) = (root[3](x) - 2)/4[/math]
  3. [math]f^{-1}(x) = root[3]((x-2)/4) [/math]
  4. [math]f^{-1}(x) = root[3](x-2)/4[/math]
6. 
What is the inverse of [math]f(x) = 3/(x-1) ?[/math]
  1. [math]f^{-1}(x) = (x+1)/3[/math]
  2. [math]f^{-1}(x) = (x+3)/x[/math]
  3. [math]f^{-1}(x) = 3/(x+1)[/math]
  4. [math]f^{-1}(x) = 4/x[/math]
7. 
Find the inverse. [math]f(x) = (x-8)/(x+1)[/math]
  1. [math]f^{-1}(x) = (x-1)/(x+8)[/math]
  2. [math]f^{-1}(x) = -9/(x+1)[/math]
  3. [math]f^{-1}(x) = (-x-8)/(x-1)[/math]
  4. [math]f^{-1}(x) = (x-8)/x[/math]
8. 
Find the inverse of the following function. [math]f(x) = 3^{9x-5}[/math]
  1. [math]f^{-1}(x) = log_3(1/9 x + 5)[/math]
  2. [math]f^{-1}(x) = log_3(x/9) + 5[/math]
  3. [math]f^{-1}(x) = log_3(x+5)/9[/math]
  4. [math]f^{-1}(x) = (log_3(x) + 5)/9[/math]
9. 
If [math]f(x) = log_4(3x-1) + 10[/math], what is the inverse of this function?
  1. [math]f^{-1}(x) = (4^(x-10)+1)/3[/math]
  2. [math]f^{-1}(x) = 4(x/3 + 1) - 10[/math]
  3. [math]f^{-1}(x) = 1/3 (4^x -9)[/math]
  4. [math]f^{-1}(x) = 4^((x-10)/3 + 1)[/math]
10. 
Find the inverse of the following function. [math]f(x) = e^(x^3)[/math]
  1. This function has no inverse.
  2. [math]f^{-1}(x) = ln(x^3)[/math]
  3. [math]f^{-1}(x) = ln(root[3](x))[/math]
  4. [math]f^{-1}(x) = root[3](ln(x))[/math]

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