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$f(x) = frac{ax + 1}{3 x - 1} dan : g(x) = x - 2 : dan( : g - 1of - 1)(4) = frac{13}{4} : : : tentukan : nilai a$
tentukan nilai a

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Jawab:

Penjelasan dengan langkah-langkah:

$displaystyle f(x) = frac{ax+1}{3x-1} , g(x) = x-2, (g^{-1}circ f^{-1})(4) = (gcirc f)^{-1}(4) = frac{13}{4} , a = ; ?\ (gcirc f)^{-1}(4) = frac{13}{4}to 4 = (gcirc f)left(frac{13}{4} right)\\(gcirc f)(x) = frac{ax+1}{3x-1} -2\\ (gcirc f)left(frac{13}{4} right)=4 = frac{acdot cfrac{13}{4} +1}{3cdot cfrac{13}{4} -1} -2$

$displaystylefrac{13a +4}{3cdot 13 -4} = 6to 13a+4 = 6cdot 5cdot 7\\13a = 2(3cdot 5cdot 7-2) = 206\\Huge{boxed{boxed{boldsymbol{a = dfrac{206}{13}}}}}$