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What is the inverse of the function f(x) = x +3?

h(x) = one-thirdx + 3
h(x) = one-thirdx – 3
h(x) = x – 3
h(x) = x + 3

Respuesta :

Answer:

C. [tex]h(x)=x-3[/tex]

Step-by-step explanation:

We have been given a function [tex]f(x)=x+3[/tex]. We are asked to find the inverse of the given function.

First of all, we will replace [tex]f(x)[/tex] by y as:

[tex]y=x+3[/tex]

Now, we will interchange x and y variables as:

[tex]x=y+3[/tex]

Solve for y:

[tex]x-3=y+3-3[/tex]

[tex]x-3=y[/tex]

Switch sides:

[tex]y=x-3[/tex]

Therefore, the inverse function for the given function would be [tex]h(x)=x-3[/tex].

Answer:

C

Step-by-step explanation:

I did it on EDGE 2020 Mid Term Test Review

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