janaalkahlout janaalkahlout
  • 06-05-2021
  • Mathematics
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PLLSSS REALLY URGENT
If g(x)=3x+4, determine n that g(-3)=g^-1(n).

PLLSSS REALLY URGENT If gx3x4 determine n that g3g1n class=

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Аноним Аноним
  • 06-05-2021

Answer:

we have:

g(-3) = 3.(-3) + 4 = -5

[tex]g {}^{ - 1} (n) = \frac{1}{3n + 4} [/tex]

because

[tex]g( - 3) = g {}^{ - 1} (n)[/tex]

=>

[tex] - 5 = \frac{1}{3n + 4} \\ \\ < = > - 5(3n + 4) = 1 \\ \\ < = > - 15n - 20 = 1 \\ \\ < = > n = \frac{ - 21}{15} \\ \\ < = > n = \frac{ - 7}{5} [/tex]

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