Question

Which represents the inverse of the function f(x) = 4x?

Which represents the inverse of the function f(x) = 4x?

h(x) = x + 4
h(x) = x – 4
h(x) = x
h(x) = x

Answer 1

h(x) = 1/4x

Explanation:

To find the inverse, first we rewrite the function using y instead of f(x):

y = 4x

Next we switch x and y:

x = 4y

Solve for y by dividing both sides by 4:

x/4 = 4y/4

x/4 = y

1/4x = y

Explanation:

Answer 2

h(x) = 1/4x

Explanation:

To find the inverse, first we rewrite the function using y instead of f(x):

y = 4x

Next we switch x and y:

x = 4y

Solve for y by dividing both sides by 4:

x/4 = 4y/4

x/4 = y

1/4x = y