BIG POINTTTTT!!!!!!!!!!!!!!!! TOLONG DIBANTU YA BESOK MAU DIKUMPUL.... Question from @rafaelsimorangkir125

rafaelsimorangkir125 @rafaelsimorangkir125

August 2022 2 9 Report

BIG POINTTTTT!!!!!!!!!!!!!!!!
TOLONG DIBANTU YA BESOK MAU DIKUMPUL

JavierSKho13

Penjelasan dengan langkah-langkah:

FUNGSI INVERS

f(x) = y

y = 2x + 1

x – 2

y(x – 2) = 2x + 1

xy – 2y = 2x + 1

xy – 2x = 2y + 1

x(y – 2) = 2y + 1

x = 2y + 1

y – 2

f-¹(x) = 2x + 1

x – 2

f-¹(7) = 2(7) + 1

7 – 2

f-¹(7) = 14 + 1

f-¹(7) = 15

f-¹(7) = 3 ✔

1 votes Thanks 1

ridhovictor4

Jawab:

Penjelasan dengan langkah-langkah:

$\displaystyle f(x) = \frac{2x+1}{x-2} \\f(x+2) = \frac{2(x+2)+1}{x} = \dfrac{2x+5}{x} = 2+\dfrac{5}{x}\\f\left(\dfrac{1}{x}+2\right) = 5x+2\\f\left(\dfrac{1}{\tfrac{x}{5}}+2\right) =f\left(\dfrac{5}{x}+2\right) = x+2\\f\left(\dfrac{5}{x-2}+2\right) = x\to f^{-1}(x) = 2+\dfrac{5}{x-2}\\\boxed{\boxed{f^{-1}(7) = 2 + \dfrac{5}{7-2} = 3}}$

1 votes Thanks 0

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f-¹(7) = 3 ✔

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