36.0k views
21 votes
Which represents the inverse of the function f(x) =4x?

User Jazerix
by
8.1k points

2 Answers

4 votes

Let's see

Let y=f(x)

  • y=4x

Intechange x and y

  • x=4y

Find y

  • y=x/4

The inverse is y=x/4

Graphs attached

Which represents the inverse of the function f(x) =4x?-example-1
User PRGSTony
by
8.2k points
4 votes

Answer:


\sf f^(-1)(x)=(x)/(4)

Explanation:

The inverse of a function is the reflection of the function in the line y = x

To find the inverse of a function:

Set the function to y:

⇒ y = 4x

Make x the subject:


\sf \implies x=(y)/(4)

Change x to
\sf f^(-1)(x) and y to x:


\sf \implies f^(-1)(x)=(x)/(4)

Which represents the inverse of the function f(x) =4x?-example-1
User BB Design
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories