Question

Find the inverse of each of the given functions.

f(x) = 4x-12
ƒ¹(x)=[
DONE
h(x) =
2x-4
3
h¯¹(x) = 3x - 12
2
k¯¹(x) =
3
(2x-4)
h¨¯¹(x) = 3x + 4
2
DONE

Answer 1

Explanation:

The inverse of each function is:

f(x) = 4x-12

To find the inverse, we switch the x and y variables and solve for y:

x = 4y - 12

x + 12 = 4y

y = (x + 12)/4

Therefore, the inverse function is:

ƒ¹(x) = (x + 12)/4

h(x) = (2x-4)/3

To find the inverse, we switch the x and y variables and solve for y:

x = (2y - 4)/3

x * 3 = 2y - 4

2y = 3x + 4

y = (3x + 4)/2

Therefore, the inverse function is:

h¯¹(x) = (3x + 4)/2

k(x) = (2x-4)/3

To find the inverse, we switch the x and y variables and solve for y:

x = (2y-4)/3

x * 3 = 2y - 4

2y = 3x + 4

y = (3x + 4)/2

Therefore, the inverse function is:

k¯¹(x) = (3x + 4)/2