Question

How to find the zeros of the function?

Answer 1

The zeros of a function are the x values at which the value of the function is zero. Substitute the value of the function as zero. Then factorize or solve for x to get an answer.

Explanation:

E.g.: For the function `f(x)` = `(x + 3)(x - 4)`
Then you can find the zeros by equating the function to zero. So `(x + 3)(x - 4) = 0`

From which we have the two solution of:

`(x+3)=0 and (x-4)=0`

Solving this will give you `x = -3` or `x = 4`

Answer 2

See explanation.

Explanation:

To find zero(s) of a function `f(x)` you have to check if the equation

`f(x)=0`

has any solutions.

Your question was a general one (did not have any specific function) but I can give you some examples of finding zeros:

Example 1

`f(x)=3x+6`

To find the zeros of this function you have to solve equation:

`3x+6=0`

`3x+6=0 => 3x=-6 => x=-2`

Answer: This function has one zero: `x=-2`.

Example 2

`f(x)=3^x-9`

`3^x-9=0`

`3^x-9=0 => 3^x=9 => 3^x=3^2 => x=2`

Answer: This function has a zero at `x=2`.