SOLUTION: Could you please help me with a few problems,that I'm having trouble with? Thank you for your time in advance. Find the zero of the linear function is what it says. 1) f(x)=

Algebra ->  Equations -> SOLUTION: Could you please help me with a few problems,that I'm having trouble with? Thank you for your time in advance. Find the zero of the linear function is what it says. 1) f(x)=       Log On


   



Question 142621: Could you please help me with a few problems,that I'm having trouble with? Thank you for your time in advance.
Find the zero of the linear function is what it says.
1) f(x)= x + 5
2) f(x) = -x + 18
3) f(x) = 16 - x
4) f(x) = x - 6
Thanks again for people like you. Elle J

Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
A zero of a function is the value of the independent variable (x in these cases) that makes f%28x%29+=+0.

I suspect you may be having some difficulty with function notation, so here is a little tutorial:

f, g, h, and the like are used to represent functions. f%28x%29 means "the value of the function f at x" So for your first example, f%28x%29=x+%2B+5, f%281%29=1%2B5=6, f%282%29=7, f%28a%29=a%2B5, and so on. Furthermore, if f%28a%29=0, then a is a zero of the function. Your job is to find that value of a for each of your functions so that f%28a%29=0.

The process is to set the function statement equal to zero and then solve for the variable, thus (for your problem 1):

x%2B5=0

Add -5 to both sides:

x=-5

So, if f%28x%29=x%2B5 then f%28-5%29=-5%2B5=0, therefore -5 is a zero of f

Using this method, you should be able to handle the other three problems.

Answer by Edwin McCravy(20056) About Me  (Show Source):