BIG POINTTTTT!!!!!!!!!!!!!!!!
TOLONG DIBANTU YA BESOK MAU DIKUMPUL
TOLONG DIBANTU YA BESOK MAU DIKUMPUL
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
5
f-¹(7) = 15
5
f-¹(7) = 3 ✔
Jawab:
3
Penjelasan dengan langkah-langkah:
[tex]\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}}[/tex]
[answer.2.content]
