Answer:
The zeroes of the function are: 3 and 4
Step-by-step explanation:
Zeroes of a function are the values on which the function produces zero output. To find the zeroes of a function, the function is put equal zero and the values of the variable are found using the equation. The values of x are the zeroes of the function.
Given function is:
[tex]f(x) = (x-3)(2x-8)[/tex]
Putting the function equal to zero
[tex]f(x) = 0\\(x -3)(2x -8) = 0\\x-3 = 0\\x = 3\\2x-8 = 0\\2x = 8\\\frac{2x}{2} = \frac{8}{2}\\x = 4[/tex]
We get two values for x, x=3 and x=4
Hence,
The zeroes of the function are: 3 and 4
