Question

Please help me solve question 6 on this algebra assignment

Answer 1

`f(x)=(3)/(5)x-(4)/(3)`

At the zero of the function, f(x) = 0. Substituting f(x) = 0, we get:

`0=(3)/(5)x-(4)/(3)`

Adding 4/3 at both sides of the equation:

`\begin{gathered} 0+(4)/(3)=(3)/(5)x-(4)/(3)+(4)/(3) \\ (4)/(3)=(3)/(5)x \end{gathered}`

Multiplying by 5/3 at both sides of the equation:

`\begin{gathered} (5)/(3)\cdot(4)/(3)=(5)/(3)\cdot(3)/(5)x \\ (5\cdot4)/(3\cdot3)=x \\ (20)/(9)=x \end{gathered}`

Therefore the coordinates of the zero of the function are:

`(x,f(x))=((20)/(9),0)`