FINDING INVERSE OF QUADRATIC FUNCTIONS WORKSHEET

Problem 1 :

f(x) = x2 + 6x + 4

Solution

Problem 2 :

f(x) = 4x2 - 8x - 5

Solution

Problem 3 :

f(x) = x2 - 8x + 12

Solution

Problem 4 :

f(x) = 9x2 + 12x + 7

Solution

Problem 5 :

f(x) = x2 + 6x + 1

Solution

Problem 6 :

f(x) = x2 - 4x + 12

Solution

Problem 7 :

f(x) = x2 - 12x - 5

Solution

Problem 8 :

f(x) = x2 + 10x + 15

Solution

Answer Key

1)  f-1(x) = ± √(x + 5) - 3

2)  

f-1(x)=±x+92+1

3) f-1(x) = ± √(x + 4) + 4

4)

y+23=±x-13y=±x-13-23

5)  f-1(x) = ± √(x + 8) - 3

6)   f-1(x) = ± √(x - 8) + 2

7)  f-1(x) = ± √(x + 41) + 6

8) f-1(x) = ± √(x + 10) - 5

For each quadratic function, complete the square and then determine the equation of the inverse.

Problem 1 :

f(x) = x² + 6x + 15

Solution

Problem 2 :

f(x) = 2x² + 24x - 3

Solution

Problem 3 :

f(x) = x² + 2x - 24

Solution

Problem 4 :

f(x) = p² + 12p - 54

Solution

Problem 5 :

f(x) = x² - 8x + 15

Solution

Problem 6 :

f(x) = r² + 18r + 56

Solution

Answer Key

1)  f-1(x) = -3 ± √x - 6

2)  f-1(x) = - 6 ± √(x + 39)/2

3)  f-1(x) = -1 ± √x + 25

4)   f-1(x) = -6 ± √x + 90

5)  f-1(x) = 4 ± √x + 1

6)  f-1(x) = -9 ± √x + 25

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