# FIND THE INVERSE OF A LINEAR FUNCTION WORKSHEET

Find the inverse of the given function :

Problem 1 :

f(x) = (5/6)x - 1/3

Solution

Problem 2 :

f(x) = 2x/3

Problem 3 :

f(x) = -5x - 5/4

Problem 4 :

g(x) = 6x - 5

Problem 5 :

g(x) = 4 + x/2

Problem 6 :

g(x) = 2 + (1/3)x

Problem 7 :

h(x) = 4x + 3

Problem 8 :

h(x) = 2x + 2

1)  f-1(x) = (2/5) (3x + 1)

2)  f-1(x) = 3x/2

3)  f-1(x) = (-x/5) + (1/4)

4)  g-1(x) = (1/6)x + (5/6)

5)   g-1(x) = 2x - 8

6)  g-1(x) = 3x - 6

7) h-1(x) = (x - 3)/4.

8)  h-1(x) = (1/2) (x - 2)

Find the inverse of each of the following functions.

Problem 1 :

f(x) = log2(x-3) - 5

Solution

Problem 2 :

f(x) = 3log3(x+3) + 1

Solution

Problem 3 :

f(x) = -2 log 2(x - 1) + 2

Problem 4 :

f(x) = -ln(1 - 2x) + 1

Problem 5 :

f(x) = 2x - 3

Problem 6 :

f(x) = 2 ⋅33x - 1

Problem 7 :

f(x) = -5 ⋅ex + 2

Problem 8 :

f(x) = 1 - 2 ⋅e-2x

1) f-1(x) = 2x+5 + 3

2) f-1(x) = 3(x-1)/3 - 3

3) f-1(x) = (1/2) 10(2-x)/2 + 1

4) f-1(x) = (1/2) - e(1-x)/2

5)  f-1(x) = log2(x + 3)

6)  f-1(x) = ln [(2 - x)/5]

7)  f-1(x) = (-1/2) ln [(1 - x)/2]

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