Question

Find the zeros of the function.

Enter the solutions from least to greatest.
f (x)=(x -3)(2x -8)f(x)=(x−3)(2x−8)

Answer 1

The zeroes of the function are: 3 and 4

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:

`f(x) = (x-3)(2x-8)`

Putting the function equal to zero

`f(x) = 0\\(x -3)(2x -8) = 0\\x-3 = 0\\x = 3\\2x-8 = 0\\2x = 8\\(2x)/(2) = (8)/(2)\\x = 4`

We get two values for x, x=3 and x=4

Hence,

The zeroes of the function are: 3 and 4