How to find the zeros of the function?

2 Answers
Arushi M. · Tony B
Feb 26, 2018

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#

Daniel L.
Feb 26, 2018

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#.

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