Jika f(x-3)=2x-4 maka f^-1(x)=.... Question from @waspbee

November 2018 2 47 Report

Jika f(x-3)=2x-4 maka f^-1(x)=...

izharulhaq78 $\displaystyle \text{cari }f(x)\text{ terlebih dahulu}\\\\\text{misal :}\\x-3=a\\x=a+3\\\\\text{maka}\\f(x-3)=2x-4\\f(a)=2(a+3)-4\\f(a)=2a+6-4\\f(a)=2a+2\\f(x)=2x+2~(\text{ganti }a\text{ dengan }x)\\\\f(x)=y\\2x+2=y\\2x=y-2\\x=\frac{y-2}{2}\\f^{-1}(y)=\frac{y-2}{2}~(\text{ganti }x\text{ dengan }f^{-1}(y))\\\boxed{\boxed{f^{-1}(x)=\frac{x-2}{2}}}$

5 votes Thanks 13

Pandanwangi F(x-3) = 2x - 4
f^-1(2x-4) = x- 3
2x-4 = a
2x = 4+a
x = 2+ 1/2a
f^-1(a) = (2 - 1/2a) - 3
f^-1(a) = -1/2 a -1
f^-1(x)= -1/2 x - 1 = 1/2 ( x + 2)

2 votes Thanks 5

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Pertanyaan seputar invers maksudnya (f^-1og)^-1 dan (fog^-1)^-1 itu apan ya?

F(x) = 3x+2 dan g(x) = 4-2x tentukan nilai x supaya (fog)^{-1}(x) = ( f^{-1} o g^{-1})(x)[

Diketahui + . Jika maka nilai b yang memenuhi adalah...

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