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# Inverse Function Rule Worksheet

Inverse function rule worksheet

• 1. Find the inverse of the function f(x) = (x-1)3 -7?
1. 1+3Ń´y-7
2. 1-3Ń´y-7
3. -1+3Ń´y-7
4. 3Ń´y-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. 3Ń´y – 7/2
2. -3Ń´y – 7/2
3. 3Ń´y + 7/2
4. Ń´y – 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 = Ń´x?
1. 1/2Ń´x
2. -1/2Ń´x
3. 2/2Ń´x
4. 3/2Ń´x
• 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
Math Topics
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