citlali45g1 citlali45g1
  • 07-09-2018
  • Mathematics
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find the inverse of each function (show work please)

find the inverse of each function show work please class=

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kettboy kettboy
  • 07-09-2018

To find the inverse function of a function, you rearrange for the x term (could be some other letter) and then swap the function and the x at the end. For example,

[tex]g(x)=15x-10 \Rightarrow x=\frac{g(x)+10}{15}[/tex] and so,

[tex]g^{-1}(x) = \frac{x+10}{15}.[/tex]

For part 3 we have

[tex]h(x)=\frac{x-12}{4} \Rightarrow x=4h(x)+12[/tex] and hence,

[tex]h^{-1}(x)=4x+12=4(x+3)[/tex]

Can you do part 4 on your own?

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