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[tex]\sf f(x)=4x-1~~g(x)=5-3x\\\sf f([g(x)])=4\cdot g(x)-1\\\sf f([g(x)])=4\cdot(5-3x)-1\\\sf f([g(x)])=20-12x-1\\\sf f([g(x)])=-12x+19\\\sf f([g(x)])=-1\\\sf -12x+19=-1\\\sf -12x=-1-19\\\sf -12x=-20\cdot(-1)\\\sf 12x=20\\\sf x=\dfrac{20\div4}{12\div4}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=\dfrac{5}{3}}}}}\blue{\checkmark}[/tex]