alg913 alg913
  • 08-10-2020
  • Mathematics
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What is the inverse of the function f(x)=1/9x+2

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hnori22003
hnori22003 hnori22003
  • 09-10-2020

[tex]f(x) = \frac{1}{9}x + 2 \\ [/tex]

[tex]y = \frac{1}{9}x + 2 \\ [/tex]

Subtract the sides of the equation minus 2

[tex]y - 2 = \frac{1}{9}x \\ [/tex]

Multiply the sides of the equation by 9

[tex]9(y - 2) = x[/tex]

[tex]9y - 18 = x[/tex]

So ;

[tex] {f}^{ - 1}(x) = 9x - 18 [/tex]

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And we're done.

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