Respuesta :
Answer: The zeroes of the given function are 0 and 7.
Step-by-step explanation: We are given to find the zeroes of the following function :
[tex]f(x)=x(x-7)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
The zeroes of a function are those values of the unknown variable at which the function becomes zero.
Therefore, the zeroes of function (i) is given by
[tex]f(x)=0\\\\\Rightarrow x(x-7)=0\\\\\Rightarrow x=0,~~x-7=0\\\\\Rightarrow x=0,~7.[/tex]
Thus, the zeroes of the given function are 0 and 7.