Question

Determine o valor de A para que a raiz da função f(x)=Ax-6 seja igual a 4

Answer 1

Para raiz da função ser igual a 4

$A(4,0) \\ \\ f(x)=ax-6 \\ \\ 0=4a-6 \\ 4a=6 \\ a= \frac{6}{4} ~~simplificando \\ \\ \fbox{ a= \frac{3}{2} } \\ ----------------- \\ verificando \\ \\ \frac{3x}{2} -6=0 \\ \\ 3x-12=0 \\ 3x=12 \\ x=12\div3 \\ \\ x=4$

Answer 2

$f(x)=Ax-6 \\ \\ 0 = Ax-6 \\ \\ 0+6=Ax \\ \\ x= \dfrac{6}{A} \\ \\ 4= \dfrac{6}{A} \\ \\ A= \dfrac{6}{4} \\ \\ A= \dfrac{\not 6 ^3}{\not 4^2} \\ \\ \boxed{A= \dfrac{3}{2}}$

Prova real:

$f(x)=Ax-6 \\ \\ f(x)= \dfrac{3}{2} x-6 \\ \\ 0= \dfrac{3}{2} x-6 \\ \\ 0+6= \dfrac{3}{2} x \\ \\ 6= \dfrac{3}{2} x \\ \\ x= \dfrac{6 \cdot 2}{3} \\ \\ x= \dfrac{\not 6^2 \cdot 2}{\not 3^1} \\ \\ \boxed{x=4}$



Bons estudos!