Diket f(x) = (x+9) . tentukan rumus utk (x)!!?.... Question from @abiemonster111

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abiemonster111 @abiemonster111

September 2018 2 19 Report

Diket f(x) = $\frac{1}{2}$ (x+9) . tentukan rumus utk $f^{-1}$ (x)!!?

Aditya002 $f(x)= \frac{1}{2}(x+9) \\ f^-^1(x)=2x-9$

2 votes Thanks 1

IcukSugiarto $\bold{\underline{Solution:}}\\\\f(x)= \frac{1}{2} (x+9)\\maka:\\\boxed{f(x)= \frac{x+9}{2} }\\sehingga\ misalkan\ f(x)=y,maka:\\\\\boxed{y= \frac{x+9}{2} }\\kali\ silang\ sehingga:\\\boxed{x+9= 2y }\\\boxed{x= 2y-9 }\\sehingga\ untuk:\\\\\boxed{f^{-1}(x)= 2x-9 }$

3 votes Thanks 1