savionmorris43 savionmorris43
  • 19-05-2022
  • Mathematics
contestada

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

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Аноним Аноним
  • 20-05-2022

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

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semsee45
semsee45 semsee45
  • 20-05-2022

Answer:

[tex]\sf f^{-1}(x)=\dfrac{x}{4}[/tex]

Step-by-step 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:

[tex]\sf \implies x=\dfrac{y}{4}[/tex]

Change x to [tex]\sf f^{-1}(x)[/tex] and y to x:

[tex]\sf \implies f^{-1}(x)=\dfrac{x}{4}[/tex]

Ver imagen semsee45
Answer Link

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