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  • 28-09-2020
  • SAT
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What is the inverse of the function ? *
f(x)=x+4

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  • 28-09-2020

Answer:

[tex]f^-1(x)=x-4[/tex]

Explanation:

[tex]f(x)=x+4\\y=x+4\\[/tex]

We first replace f(x) with y.

We then switch x and y.

[tex]x=y+4[/tex]

We then find y in terms of x in our new equation.

[tex]y=x-4[/tex]

We then replace y with  [tex]f^-1(x)[/tex].

[tex]f^-1(x)=x-4[/tex]

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