jika f(x)=2x+5 , g^-1(x)=x-3/x-4 maka (g^-1 bundaran f^-1(x) adalah... Jawabnya jgn ngasal

jawab

f(x)= 2x + 5
f⁻¹(x)= (x - 5)/2 = 1/2 (x - 5)
g⁻¹(x) = (x-3)/(x-4)

g⁻¹ o f⁻¹ (x) = g⁻¹ {f⁻¹(x)}
= g⁻¹ { 1/2 (x - 5)}
= {(1/2(x-5) -3)/{1/2(x-5) - 4}
= {1/2 x - 5/2 - 3 } /{ 1/2 x - 5/2 - 4 }
= 1/2 (x - 5 - 6)  / 1/2 (x - 5 - 8)
= (x -11)/(x - 13)