Inverse Function Rule Worksheet

Inverse function rule worksheet

  • 1. Find the inverse of the function f(x) = (x-1)3 -7?
    1. 1+3Ѵy-7
    2. 1-3Ѵy-7
    3. -1+3Ѵy-7
    4. 3Ѵy-7
  • 2. Find the inverse of the function f(x) = 3x+1?
    1. (x – 1)/3  
    2. -(x – 1)/3
    3. -1+3
    4. (x + 1)/3
  • 3. Find the inverse of given function f(x) = x2+1?
    1. (x – 1) 
    2. (x – 1)1/2
    3. -(x – 1)1/2
    4. (x +(x – 1)1/21)1/2
  • 4. If g(x) = (x – 1)/(x + 3) then calculate the derivative of the inverse of g at x = 0?
    1. (x – 1) 
    2. (3x - 1)/ (x-1)
    3. (3x + 1)/ (x-1)
    4. -(3x + 1)/ (x-1)
  • 5. If y = (2x + 7)3  then find the inverse of the function for x?
    1. 3Ѵy – 7/2
    2. -3Ѵy – 7/2
    3. 3Ѵy + 7/2
    4. Ѵy – 7/2
  • 6. Find the inverse of given function f(x) = (x - 1)/(x - 2)?
    1. (x – 1) 
    2. (1 + 2x) / (x - 1)
    3. – (1 + 2x) / (x - 1)
    4. (1 + 2x) / (x + 1)
  • 7. Find the inverse function of f given by f(x) = (x - 1)2, if x >= 1?
    1. -1(y) = 1 - sqrt(y) or f -1(x) = 1 + sqrt(x)
    2. -1(y) = 1 - sqrt(y) or f -1(x) = 1 - sqrt(x)
    3. -1(y) =  sqrt(y) or f -1(x) = 1 + sqrt(x)
    4. -1(y) = 1 + sqrt(y) or f -1(x) = 1 + sqrt(x)
  • 8. Find the inverse function of f given by y = Ѵx?
    1. 1/2Ѵx
    2. -1/2Ѵx
    3. 2/2Ѵx
    4. 3/2Ѵx
  • 9. Find the inverse function f(x) = ln(x + 1) – 2?
    1. ey +2 -1
    2. - ey +2 -1
    3. ey +2 -1
    4. ey +2
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