Diketahui f(a)=12a+4 dan g(a)= 5a-2 tentukan (g-1 o f -1)(a)​

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Diketahui f(a)=12a+4 dan g(a)= 5a-2 tentukan (g-1 o f -1)(a)​

Jawab:

frac{a+20}{60}

Penjelasan dengan langkah-langkah:

begin{aligned} (fcirc g)(x)&=f(g(x))\ &=f(5a-2)\ &=12(5a-2)+4\ &=60a-24+4\ &=60a-20 end{aligned}

begin{aligned} left(g^{-1}circ f^{-1}right)(x)&=(fcirc g)^{-1}(x)\ &=boxed{boxed{dfrac{a+20}{60}}} end{aligned}